id	sid	tid	token	lemma	pos
cana-3837	1	1	communications	communication	NOUN
cana-3837	1	2	on	on	ADP
cana-3837	1	3	applied	apply	VERB
cana-3837	1	4	nonlinear	nonlinear	ADJ
cana-3837	1	5	analysis	analysis	NOUN
cana-3837	1	6	issn	issn	NOUN
cana-3837	1	7	:	:	PUNCT
cana-3837	1	8	1074	1074	NUM
cana-3837	1	9	-	-	PUNCT
cana-3837	1	10	133x	133x	NUM
cana-3837	1	11	vol	vol	NOUN
cana-3837	1	12	32	32	NUM
cana-3837	1	13	no	no	NOUN
cana-3837	1	14	.	.	PUNCT
cana-3837	2	1	9s	9s	NUM
cana-3837	2	2	(	(	PUNCT
cana-3837	2	3	2025	2025	NUM
cana-3837	2	4	)	)	PUNCT
cana-3837	2	5	50	50	NUM
cana-3837	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3837	2	7	an	an	DET
cana-3837	2	8	operations	operation	NOUN
cana-3837	2	9	and	and	CCONJ
cana-3837	2	10	relations	relation	NOUN
cana-3837	2	11	on	on	ADP
cana-3837	2	12	the	the	DET
cana-3837	2	13	cartesian	cartesian	ADJ
cana-3837	2	14	product	product	NOUN
cana-3837	2	15	of	of	ADP
cana-3837	2	16	interval	interval	NOUN
cana-3837	2	17	valued	value	VERB
cana-3837	2	18	intuitionistic	intuitionistic	ADJ
cana-3837	2	19	fuzzy	fuzzy	ADJ
cana-3837	2	20	matrices	matrix	NOUN
cana-3837	2	21	r.	r.	PROPN
cana-3837	2	22	amutha1,2	amutha1,2	PROPN
cana-3837	2	23	and	and	CCONJ
cana-3837	2	24	c.	c.	PROPN
cana-3837	2	25	ragavan1	ragavan1	PROPN
cana-3837	3	1	1pg	1pg	PROPN
cana-3837	3	2	&	&	CCONJ
cana-3837	3	3	research	research	PROPN
cana-3837	3	4	department	department	PROPN
cana-3837	3	5	of	of	ADP
cana-3837	3	6	mathematics	mathematic	NOUN
cana-3837	3	7	,	,	PUNCT
cana-3837	3	8	sri	sri	PROPN
cana-3837	3	9	vidya	vidya	PROPN
cana-3837	3	10	mandir	mandir	PROPN
cana-3837	3	11	arts	arts	PROPN
cana-3837	3	12	&	&	CCONJ
cana-3837	3	13	science	science	PROPN
cana-3837	3	14	college	college	PROPN
cana-3837	3	15	(	(	PUNCT
cana-3837	3	16	autonomous	autonomous	ADJ
cana-3837	3	17	)	)	PUNCT
cana-3837	3	18	,	,	PUNCT
cana-3837	3	19	katteri	katteri	PROPN
cana-3837	3	20	–	–	PUNCT
cana-3837	3	21	636	636	NUM
cana-3837	3	22	902	902	NUM
cana-3837	3	23	,	,	PUNCT
cana-3837	3	24	uthangarai	uthangarai	NOUN
cana-3837	3	25	,	,	PUNCT
cana-3837	3	26	tamilnadu	tamilnadu	PROPN
cana-3837	3	27	,	,	PUNCT
cana-3837	3	28	india	india	PROPN
cana-3837	3	29	2department	2department	PROPN
cana-3837	3	30	of	of	ADP
cana-3837	3	31	mathematics	mathematic	NOUN
cana-3837	3	32	,	,	PUNCT
cana-3837	3	33	periyar	periyar	NOUN
cana-3837	3	34	university	university	NOUN
cana-3837	3	35	,	,	PUNCT
cana-3837	3	36	salem	salem	NOUN
cana-3837	3	37	–	–	PUNCT
cana-3837	3	38	636	636	NUM
cana-3837	3	39	011	011	NUM
cana-3837	3	40	,	,	PUNCT
cana-3837	3	41	tamilnadu	tamilnadu	NOUN
cana-3837	3	42	,	,	PUNCT
cana-3837	3	43	india	india	PROPN
cana-3837	3	44	1saraswathiamutha@gmail.com	1saraswathiamutha@gmail.com	PROPN
cana-3837	3	45	,	,	PUNCT
cana-3837	3	46	2ragavanshana@gmail.com	2ragavanshana@gmail.com	NUM
cana-3837	3	47	article	article	NOUN
cana-3837	3	48	history	history	NOUN
cana-3837	3	49	:	:	PUNCT
cana-3837	3	50	received	receive	VERB
cana-3837	3	51	:	:	PUNCT
cana-3837	3	52	12	12	NUM
cana-3837	3	53	-	-	SYM
cana-3837	3	54	11	11	NUM
cana-3837	3	55	-	-	PUNCT
cana-3837	3	56	2024	2024	NUM
cana-3837	3	57	revised:24	revised:24	X
cana-3837	3	58	-	-	PUNCT
cana-3837	3	59	12	12	NUM
cana-3837	3	60	-	-	PUNCT
cana-3837	3	61	2024	2024	NUM
cana-3837	3	62	accepted:09	accepted:09	NOUN
cana-3837	3	63	-	-	PUNCT
cana-3837	3	64	01	01	NUM
cana-3837	3	65	-	-	PUNCT
cana-3837	3	66	2025	2025	NUM
cana-3837	3	67	abstract	abstract	NOUN
cana-3837	3	68	:	:	PUNCT
cana-3837	3	69	in	in	ADP
cana-3837	3	70	this	this	DET
cana-3837	3	71	paper	paper	NOUN
cana-3837	3	72	,	,	PUNCT
cana-3837	3	73	we	we	PRON
cana-3837	3	74	study	study	VERB
cana-3837	3	75	an	an	DET
cana-3837	3	76	operations	operation	NOUN
cana-3837	3	77	and	and	CCONJ
cana-3837	3	78	relations	relation	NOUN
cana-3837	3	79	on	on	ADP
cana-3837	3	80	the	the	DET
cana-3837	3	81	cartesian	cartesian	ADJ
cana-3837	3	82	product	product	NOUN
cana-3837	3	83	over	over	ADP
cana-3837	3	84	interval	interval	NOUN
cana-3837	3	85	valued	value	VERB
cana-3837	3	86	intuitionistic	intuitionistic	ADJ
cana-3837	3	87	fuzzy	fuzzy	ADJ
cana-3837	3	88	matrices	matrix	NOUN
cana-3837	3	89	are	be	AUX
cana-3837	3	90	introduced	introduce	VERB
cana-3837	3	91	and	and	CCONJ
cana-3837	3	92	its	its	PRON
cana-3837	3	93	some	some	DET
cana-3837	3	94	properties	property	NOUN
cana-3837	3	95	are	be	AUX
cana-3837	3	96	explored	explore	VERB
cana-3837	3	97	.	.	PUNCT
cana-3837	4	1	we	we	PRON
cana-3837	4	2	prove	prove	VERB
cana-3837	4	3	some	some	DET
cana-3837	4	4	equality	equality	NOUN
cana-3837	4	5	based	base	VERB
cana-3837	4	6	on	on	ADP
cana-3837	4	7	the	the	DET
cana-3837	4	8	operation	operation	NOUN
cana-3837	4	9	and	and	CCONJ
cana-3837	4	10	the	the	DET
cana-3837	4	11	relation	relation	NOUN
cana-3837	4	12	over	over	ADP
cana-3837	4	13	interval	interval	NOUN
cana-3837	4	14	valued	value	VERB
cana-3837	4	15	intuitionistic	intuitionistic	ADJ
cana-3837	4	16	fuzzy	fuzzy	ADJ
cana-3837	4	17	matrices	matrix	NOUN
cana-3837	4	18	.	.	PUNCT
cana-3837	5	1	finally	finally	ADV
cana-3837	5	2	,	,	PUNCT
cana-3837	5	3	we	we	PRON
cana-3837	5	4	introducing	introduce	VERB
cana-3837	5	5	some	some	DET
cana-3837	5	6	cartesian	cartesian	ADJ
cana-3837	5	7	formulas	formula	NOUN
cana-3837	5	8	×1	×1	NOUN
cana-3837	5	9	,	,	PUNCT
cana-3837	5	10	×2	×2	PROPN
cana-3837	5	11	,	,	PUNCT
cana-3837	5	12	×3	×3	NOUN
cana-3837	5	13	,	,	PUNCT
cana-3837	5	14	×4	×4	NOUN
cana-3837	5	15	,	,	PUNCT
cana-3837	5	16	×5	×5	NOUN
cana-3837	5	17	in	in	ADP
cana-3837	5	18	cartesian	cartesian	ADJ
cana-3837	5	19	product	product	NOUN
cana-3837	5	20	of	of	ADP
cana-3837	5	21	interval	interval	NOUN
cana-3837	5	22	valued	value	VERB
cana-3837	5	23	intuitionistic	intuitionistic	ADJ
cana-3837	5	24	fuzzy	fuzzy	ADJ
cana-3837	5	25	matrices	matrix	NOUN
cana-3837	5	26	.	.	PUNCT
cana-3837	6	1	keywords	keyword	NOUN
cana-3837	6	2	:	:	PUNCT
cana-3837	6	3	fuzzy	fuzzy	ADJ
cana-3837	6	4	sets	set	NOUN
cana-3837	6	5	,	,	PUNCT
cana-3837	6	6	intuitionistic	intuitionistic	ADJ
cana-3837	6	7	fuzzy	fuzzy	ADJ
cana-3837	6	8	sets	set	NOUN
cana-3837	6	9	,	,	PUNCT
cana-3837	6	10	fuzzy	fuzzy	ADJ
cana-3837	6	11	matrix	matrix	NOUN
cana-3837	6	12	,	,	PUNCT
cana-3837	6	13	cartesian	cartesian	ADJ
cana-3837	6	14	product	product	NOUN
cana-3837	6	15	over	over	ADP
cana-3837	6	16	intuitionistic	intuitionistic	ADJ
cana-3837	6	17	fuzzy	fuzzy	ADJ
cana-3837	6	18	sets	set	NOUN
cana-3837	6	19	,	,	PUNCT
cana-3837	6	20	operation	operation	NOUN
cana-3837	6	21	,	,	PUNCT
cana-3837	6	22	geometric	geometric	ADJ
cana-3837	6	23	interpretation	interpretation	NOUN
cana-3837	6	24	,	,	PUNCT
cana-3837	6	25	interval	interval	NOUN
cana-3837	6	26	valued	value	VERB
cana-3837	6	27	intuitionistic	intuitionistic	ADJ
cana-3837	6	28	fuzzy	fuzzy	ADJ
cana-3837	6	29	set	set	NOUN
cana-3837	6	30	.	.	PUNCT
cana-3837	7	1	1	1	X
cana-3837	7	2	.	.	X
cana-3837	7	3	introduction	introduction	NOUN
cana-3837	7	4	in	in	ADP
cana-3837	7	5	1986	1986	NUM
cana-3837	7	6	,	,	PUNCT
cana-3837	7	7	the	the	DET
cana-3837	7	8	theory	theory	NOUN
cana-3837	7	9	of	of	ADP
cana-3837	7	10	intuitionistic	intuitionistic	ADJ
cana-3837	7	11	fuzzy	fuzzy	ADJ
cana-3837	7	12	sets	set	NOUN
cana-3837	7	13	was	be	AUX
cana-3837	7	14	presented	present	VERB
cana-3837	7	15	initially	initially	ADV
cana-3837	7	16	by	by	ADP
cana-3837	7	17	atanassov	atanassov	NOUN
cana-3837	8	1	[	[	X
cana-3837	8	2	1	1	NUM
cana-3837	8	3	]	]	PUNCT
cana-3837	8	4	and	and	CCONJ
cana-3837	8	5	a	a	DET
cana-3837	8	6	series	series	NOUN
cana-3837	8	7	of	of	ADP
cana-3837	8	8	operations	operation	NOUN
cana-3837	8	9	and	and	CCONJ
cana-3837	8	10	concepts	concept	NOUN
cana-3837	8	11	is	be	AUX
cana-3837	8	12	defined	define	VERB
cana-3837	8	13	in	in	ADP
cana-3837	8	14	[	[	X
cana-3837	8	15	2	2	NUM
cana-3837	8	16	]	]	PUNCT
cana-3837	8	17	.	.	PUNCT
cana-3837	9	1	later	later	ADV
cana-3837	9	2	,	,	PUNCT
cana-3837	9	3	the	the	DET
cana-3837	9	4	interval	interval	NOUN
cana-3837	9	5	valued	value	VERB
cana-3837	9	6	intuitionistic	intuitionistic	ADJ
cana-3837	9	7	fuzzy	fuzzy	ADJ
cana-3837	9	8	sets	set	NOUN
cana-3837	9	9	[	[	X
cana-3837	9	10	3	3	NUM
cana-3837	9	11	]	]	PUNCT
cana-3837	9	12	was	be	AUX
cana-3837	9	13	presented	present	VERB
cana-3837	9	14	by	by	ADP
cana-3837	9	15	atanassov	atanassov	PROPN
cana-3837	9	16	in	in	ADP
cana-3837	9	17	1989	1989	NUM
cana-3837	9	18	,	,	PUNCT
cana-3837	9	19	and	and	CCONJ
cana-3837	9	20	it	it	PRON
cana-3837	9	21	has	have	AUX
cana-3837	9	22	achieved	achieve	VERB
cana-3837	9	23	a	a	DET
cana-3837	9	24	tremendous	tremendous	ADJ
cana-3837	9	25	amount	amount	NOUN
cana-3837	9	26	of	of	ADP
cana-3837	9	27	research	research	NOUN
cana-3837	9	28	and	and	CCONJ
cana-3837	9	29	development	development	NOUN
cana-3837	9	30	in	in	ADP
cana-3837	9	31	various	various	ADJ
cana-3837	9	32	fields	field	NOUN
cana-3837	9	33	.	.	PUNCT
cana-3837	10	1	for	for	ADP
cana-3837	10	2	example	example	NOUN
cana-3837	10	3	,	,	PUNCT
cana-3837	10	4	zeng	zeng	PROPN
cana-3837	10	5	and	and	CCONJ
cana-3837	10	6	hu	hu	PROPN
cana-3837	10	7	studied	study	VERB
cana-3837	10	8	the	the	DET
cana-3837	10	9	necessity	necessity	NOUN
cana-3837	10	10	operator	operator	NOUN
cana-3837	10	11	and	and	CCONJ
cana-3837	10	12	the	the	DET
cana-3837	10	13	possibility	possibility	NOUN
cana-3837	10	14	operator	operator	NOUN
cana-3837	10	15	of	of	ADP
cana-3837	10	16	interval	interval	NOUN
cana-3837	10	17	valued	value	VERB
cana-3837	10	18	intuitionistic	intuitionistic	ADJ
cana-3837	10	19	fuzzy	fuzzy	ADJ
cana-3837	10	20	sets	set	NOUN
cana-3837	10	21	[	[	X
cana-3837	10	22	4	4	NUM
cana-3837	10	23	]	]	PUNCT
cana-3837	10	24	.	.	PUNCT
cana-3837	11	1	t.	t.	PROPN
cana-3837	11	2	muthuraji	muthuraji	PROPN
cana-3837	11	3	,	,	PUNCT
cana-3837	11	4	s.	s.	PROPN
cana-3837	11	5	sriram	sriram	PROPN
cana-3837	11	6	,	,	PUNCT
cana-3837	11	7	p.	p.	PROPN
cana-3837	11	8	murugadas	murugadas	PROPN
cana-3837	11	9	have	have	AUX
cana-3837	11	10	proposed	propose	VERB
cana-3837	11	11	decomposition	decomposition	NOUN
cana-3837	11	12	of	of	ADP
cana-3837	11	13	intuitionistic	intuitionistic	ADJ
cana-3837	11	14	fuzzy	fuzzy	ADJ
cana-3837	11	15	matrices	matrix	NOUN
cana-3837	11	16	[	[	X
cana-3837	11	17	5	5	NUM
cana-3837	11	18	]	]	PUNCT
cana-3837	11	19	.	.	PUNCT
cana-3837	12	1	h.	h.	PROPN
cana-3837	12	2	bustince	bustince	PROPN
cana-3837	12	3	,	,	PUNCT
cana-3837	12	4	e.	e.	PROPN
cana-3837	12	5	barrenechea	barrenechea	PROPN
cana-3837	12	6	,	,	PUNCT
cana-3837	12	7	m.	m.	PROPN
cana-3837	12	8	pagola	pagola	PROPN
cana-3837	12	9	,	,	PUNCT
cana-3837	12	10	j.	j.	PROPN
cana-3837	12	11	fernandez	fernandez	PROPN
cana-3837	12	12	proposed	propose	VERB
cana-3837	12	13	interval	interval	NOUN
cana-3837	12	14	-	-	PUNCT
cana-3837	12	15	valued	value	VERB
cana-3837	12	16	fuzzy	fuzzy	ADJ
cana-3837	12	17	sets	set	NOUN
cana-3837	12	18	constructed	construct	VERB
cana-3837	12	19	from	from	ADP
cana-3837	12	20	matrices	matrix	NOUN
cana-3837	12	21	[	[	X
cana-3837	12	22	17	17	NUM
cana-3837	12	23	]	]	PUNCT
cana-3837	12	24	.	.	PUNCT
cana-3837	13	1	b.	b.	PROPN
cana-3837	13	2	chetia	chetia	PROPN
cana-3837	13	3	and	and	CCONJ
cana-3837	13	4	p.	p.	PROPN
cana-3837	13	5	k.	k.	PUNCT
cana-3837	14	1	das	das	PROPN
cana-3837	14	2	.	.	PROPN
cana-3837	15	1	introduced	introduce	VERB
cana-3837	15	2	some	some	DET
cana-3837	15	3	results	result	NOUN
cana-3837	15	4	of	of	ADP
cana-3837	15	5	intuitionistic	intuitionistic	ADJ
cana-3837	15	6	fuzzy	fuzzy	ADJ
cana-3837	15	7	soft	soft	ADJ
cana-3837	15	8	matrix	matrix	NOUN
cana-3837	15	9	theory	theory	NOUN
cana-3837	15	10	[	[	X
cana-3837	15	11	9	9	NUM
cana-3837	15	12	]	]	PUNCT
cana-3837	15	13	.	.	PUNCT
cana-3837	16	1	jian	jian	PROPN
cana-3837	16	2	-	-	PUNCT
cana-3837	16	3	qiang	qiang	PROPN
cana-3837	16	4	wang	wang	PROPN
cana-3837	16	5	,	,	PUNCT
cana-3837	16	6	rongrong	rongrong	PROPN
cana-3837	16	7	nie	nie	PROPN
cana-3837	16	8	,	,	PUNCT
cana-3837	16	9	hong	hong	PROPN
cana-3837	16	10	-	-	PUNCT
cana-3837	16	11	yu	yu	PROPN
cana-3837	16	12	zhang	zhang	PROPN
cana-3837	16	13	,	,	PUNCT
cana-3837	16	14	xiao	xiao	PROPN
cana-3837	16	15	-	-	PUNCT
cana-3837	16	16	hong	hong	PROPN
cana-3837	16	17	chen	chen	PROPN
cana-3837	16	18	initiated	initiate	VERB
cana-3837	16	19	intuitionistic	intuitionistic	ADJ
cana-3837	16	20	fuzzy	fuzzy	ADJ
cana-3837	16	21	multi	multi	ADJ
cana-3837	16	22	-	-	ADJ
cana-3837	16	23	criteria	criterion	NOUN
cana-3837	16	24	decisionmaking	decisionmake	VERB
cana-3837	16	25	method	method	NOUN
cana-3837	16	26	based	base	VERB
cana-3837	16	27	on	on	ADP
cana-3837	16	28	evidential	evidential	ADJ
cana-3837	16	29	reasoning	reasoning	NOUN
cana-3837	16	30	[	[	X
cana-3837	16	31	12	12	NUM
cana-3837	16	32	]	]	PUNCT
cana-3837	16	33	.	.	PUNCT
cana-3837	17	1	s.	s.	PROPN
cana-3837	17	2	senthilkumar	senthilkumar	PROPN
cana-3837	17	3	,	,	PUNCT
cana-3837	17	4	eswari	eswari	NOUN
cana-3837	17	5	prem	prem	PROPN
cana-3837	17	6	and	and	CCONJ
cana-3837	17	7	c.	c.	PROPN
cana-3837	17	8	ragavan	ragavan	PROPN
cana-3837	17	9	have	have	AUX
cana-3837	17	10	explored	explore	VERB
cana-3837	17	11	the	the	DET
cana-3837	17	12	concept	concept	NOUN
cana-3837	17	13	of	of	ADP
cana-3837	17	14	intuitionistic	intuitionistic	ADJ
cana-3837	17	15	fuzzy	fuzzy	ADJ
cana-3837	17	16	translation	translation	NOUN
cana-3837	17	17	of	of	ADP
cana-3837	17	18	anti	anti	ADJ
cana-3837	17	19	-	-	ADJ
cana-3837	17	20	intuitionistic	intuitionistic	ADJ
cana-3837	17	21	fuzzy	fuzzy	ADJ
cana-3837	17	22	t	t	NOUN
cana-3837	17	23	-	-	PUNCT
cana-3837	17	24	ideals	ideal	NOUN
cana-3837	17	25	of	of	ADP
cana-3837	17	26	subtraction	subtraction	NOUN
cana-3837	17	27	bck	bck	PROPN
cana-3837	17	28	/	/	SYM
cana-3837	17	29	bci	bci	NOUN
cana-3837	17	30	-	-	PUNCT
cana-3837	17	31	algebras	algebras	X
cana-3837	18	1	[	[	X
cana-3837	18	2	20	20	NUM
cana-3837	18	3	]	]	PUNCT
cana-3837	18	4	.	.	PUNCT
cana-3837	19	1	d.	d.	PROPN
cana-3837	19	2	pandey	pandey	PROPN
cana-3837	19	3	and	and	CCONJ
cana-3837	19	4	kamesh	kamesh	PROPN
cana-3837	19	5	kumar	kumar	PROPN
cana-3837	19	6	have	have	AUX
cana-3837	19	7	achieved	achieve	VERB
cana-3837	19	8	their	their	PRON
cana-3837	19	9	results	result	NOUN
cana-3837	19	10	in	in	ADP
cana-3837	19	11	the	the	DET
cana-3837	19	12	interval	interval	NOUN
cana-3837	19	13	valued	value	VERB
cana-3837	19	14	intuitionistic	intuitionistic	ADJ
cana-3837	19	15	fuzzy	fuzzy	ADJ
cana-3837	19	16	sets	set	NOUN
cana-3837	19	17	in	in	ADP
cana-3837	19	18	medical	medical	ADJ
cana-3837	19	19	diagnosis	diagnosis	NOUN
cana-3837	19	20	[	[	X
cana-3837	19	21	22	22	NUM
cana-3837	19	22	]	]	PUNCT
cana-3837	19	23	.	.	PUNCT
cana-3837	20	1	for	for	ADP
cana-3837	20	2	distance	distance	NOUN
cana-3837	20	3	measures	measure	NOUN
cana-3837	20	4	,	,	PUNCT
cana-3837	20	5	further	further	ADJ
cana-3837	20	6	research	research	NOUN
cana-3837	20	7	was	be	AUX
cana-3837	20	8	done	do	VERB
cana-3837	20	9	by	by	ADP
cana-3837	20	10	khalid	khalid	PROPN
cana-3837	20	11	and	and	CCONJ
cana-3837	20	12	abbas	abbas	PROPN
cana-3837	21	1	[	[	X
cana-3837	21	2	23	23	NUM
cana-3837	21	3	]	]	PUNCT
cana-3837	21	4	.	.	PUNCT
cana-3837	22	1	atanassov	atanassov	PROPN
cana-3837	22	2	defined	define	VERB
cana-3837	22	3	five	five	NUM
cana-3837	22	4	versions	version	NOUN
cana-3837	22	5	of	of	ADP
cana-3837	22	6	cartesian	cartesian	ADJ
cana-3837	22	7	products	product	NOUN
cana-3837	22	8	of	of	ADP
cana-3837	22	9	two	two	NUM
cana-3837	22	10	ifss	ifss	NOUN
cana-3837	22	11	.	.	PUNCT
cana-3837	23	1	the	the	DET
cana-3837	23	2	sixth	sixth	ADJ
cana-3837	23	3	cartesian	cartesian	ADJ
cana-3837	23	4	product	product	NOUN
cana-3837	23	5	over	over	ADP
cana-3837	23	6	ifss	ifss	NOUN
cana-3837	23	7	was	be	AUX
cana-3837	23	8	defined	define	VERB
cana-3837	23	9	by	by	ADP
cana-3837	23	10	velin	velin	PROPN
cana-3837	23	11	andonov	andonov	PROPN
cana-3837	23	12	in	in	ADP
cana-3837	23	13	2008	2008	NUM
cana-3837	24	1	[	[	X
cana-3837	24	2	24	24	NUM
cana-3837	24	3	]	]	PUNCT
cana-3837	24	4	.	.	PUNCT
cana-3837	25	1	the	the	DET
cana-3837	25	2	seventh	seventh	ADJ
cana-3837	25	3	,	,	PUNCT
cana-3837	25	4	eighth	eighth	ADJ
cana-3837	25	5	and	and	CCONJ
cana-3837	25	6	ninth	ninth	ADJ
cana-3837	25	7	cartesian	cartesian	ADJ
cana-3837	25	8	products	product	NOUN
cana-3837	25	9	over	over	ADP
cana-3837	25	10	ifss	ifss	NOUN
cana-3837	25	11	were	be	AUX
cana-3837	25	12	defined	define	VERB
cana-3837	25	13	by	by	ADP
cana-3837	25	14	annie	annie	PROPN
cana-3837	25	15	varghese	varghese	PROPN
cana-3837	25	16	and	and	CCONJ
cana-3837	25	17	sunny	sunny	ADJ
cana-3837	25	18	kuriakose	kuriakose	NOUN
cana-3837	25	19	in	in	ADP
cana-3837	25	20	2012	2012	NUM
cana-3837	25	21	[	[	X
cana-3837	25	22	25	25	NUM
cana-3837	25	23	]	]	PUNCT
cana-3837	25	24	,	,	PUNCT
cana-3837	25	25	they	they	PRON
cana-3837	25	26	also	also	ADV
cana-3837	25	27	defined	define	VERB
cana-3837	25	28	the	the	DET
cana-3837	25	29	tenth	tenth	ADJ
cana-3837	25	30	and	and	CCONJ
cana-3837	25	31	eleventh	eleventh	ADJ
cana-3837	25	32	cartesian	cartesian	ADJ
cana-3837	25	33	products	product	NOUN
cana-3837	25	34	over	over	ADP
cana-3837	25	35	ifss	ifss	NOUN
cana-3837	25	36	in	in	ADP
cana-3837	25	37	the	the	DET
cana-3837	25	38	same	same	ADJ
cana-3837	25	39	year	year	NOUN
cana-3837	26	1	[	[	X
cana-3837	26	2	26	26	NUM
cana-3837	26	3	]	]	PUNCT
cana-3837	26	4	,	,	PUNCT
cana-3837	26	5	that	that	PRON
cana-3837	26	6	is	be	AUX
cana-3837	26	7	to	to	PART
cana-3837	26	8	say	say	VERB
cana-3837	26	9	×7	×7	NOUN
cana-3837	26	10	,	,	PUNCT
cana-3837	26	11	×8	×8	ADJ
cana-3837	26	12	,	,	PUNCT
cana-3837	26	13	×9	×9	ADV
cana-3837	26	14	,	,	PUNCT
cana-3837	26	15	×10	×10	PROPN
cana-3837	26	16	and	and	CCONJ
cana-3837	26	17	×11	×11	NUM
cana-3837	26	18	,	,	PUNCT
cana-3837	26	19	respectively	respectively	ADV
cana-3837	26	20	.	.	PUNCT
cana-3837	27	1	and	and	CCONJ
cana-3837	27	2	the	the	DET
cana-3837	27	3	corresponding	corresponding	ADJ
cana-3837	27	4	equations	equation	NOUN
cana-3837	27	5	for	for	ADP
cana-3837	27	6	some	some	DET
cana-3837	27	7	operations	operation	NOUN
cana-3837	27	8	and	and	CCONJ
cana-3837	27	9	relations	relation	NOUN
cana-3837	27	10	over	over	ADP
cana-3837	27	11	ifss	ifss	NOUN
cana-3837	27	12	were	be	AUX
cana-3837	27	13	proved	prove	VERB
cana-3837	27	14	.	.	PUNCT
cana-3837	28	1	according	accord	VERB
cana-3837	28	2	to	to	ADP
cana-3837	28	3	the	the	DET
cana-3837	28	4	comparison	comparison	NOUN
cana-3837	28	5	of	of	ADP
cana-3837	28	6	interval	interval	NOUN
cana-3837	28	7	valued	value	VERB
cana-3837	28	8	fuzzy	fuzzy	ADJ
cana-3837	28	9	sets	set	NOUN
cana-3837	28	10	and	and	CCONJ
cana-3837	28	11	intuitionistic	intuitionistic	ADJ
cana-3837	28	12	fuzzy	fuzzy	ADJ
cana-3837	28	13	set	set	NOUN
cana-3837	28	14	,	,	PUNCT
cana-3837	28	15	atanassov	atanassov	PROPN
cana-3837	28	16	introduced	introduce	VERB
cana-3837	28	17	and	and	CCONJ
cana-3837	28	18	proposed	propose	VERB
cana-3837	28	19	five	five	NUM
cana-3837	28	20	kinds	kind	NOUN
cana-3837	28	21	of	of	ADP
cana-3837	28	22	cartesian	cartesian	ADJ
cana-3837	28	23	products	product	NOUN
cana-3837	28	24	of	of	ADP
cana-3837	28	25	two	two	NUM
cana-3837	28	26	interval	interval	NOUN
cana-3837	28	27	valued	value	VERB
cana-3837	28	28	intuitionistic	intuitionistic	ADJ
cana-3837	28	29	fuzzy	fuzzy	ADJ
cana-3837	28	30	sets	set	NOUN
cana-3837	28	31	.	.	PUNCT
cana-3837	29	1	as	as	SCONJ
cana-3837	29	2	we	we	PRON
cana-3837	29	3	all	all	PRON
cana-3837	29	4	know	know	VERB
cana-3837	29	5	,	,	PUNCT
cana-3837	29	6	there	there	PRON
cana-3837	29	7	are	be	VERB
cana-3837	29	8	eleven	eleven	NUM
cana-3837	29	9	mailto:saraswathiamutha@gmail.com	mailto:saraswathiamutha@gmail.com	PROPN
cana-3837	29	10	communications	communication	NOUN
cana-3837	29	11	on	on	ADP
cana-3837	29	12	applied	apply	VERB
cana-3837	29	13	nonlinear	nonlinear	ADJ
cana-3837	29	14	analysis	analysis	NOUN
cana-3837	29	15	issn	issn	NOUN
cana-3837	29	16	:	:	PUNCT
cana-3837	29	17	1074	1074	NUM
cana-3837	29	18	-	-	PUNCT
cana-3837	29	19	133x	133x	NUM
cana-3837	29	20	vol	vol	NOUN
cana-3837	29	21	32	32	NUM
cana-3837	29	22	no	no	NOUN
cana-3837	29	23	.	.	PUNCT
cana-3837	30	1	9s	9s	NUM
cana-3837	30	2	(	(	PUNCT
cana-3837	30	3	2025	2025	NUM
cana-3837	30	4	)	)	PUNCT
cana-3837	30	5	51	51	NUM
cana-3837	30	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3837	30	7	kinds	kind	NOUN
cana-3837	30	8	of	of	ADP
cana-3837	30	9	cartesian	cartesian	ADJ
cana-3837	30	10	products	product	NOUN
cana-3837	30	11	of	of	ADP
cana-3837	30	12	ifss	ifss	NOUN
cana-3837	30	13	.	.	PUNCT
cana-3837	31	1	however	however	ADV
cana-3837	31	2	,	,	PUNCT
cana-3837	31	3	there	there	PRON
cana-3837	31	4	are	be	VERB
cana-3837	31	5	only	only	ADV
cana-3837	31	6	five	five	NUM
cana-3837	31	7	types	type	NOUN
cana-3837	31	8	of	of	ADP
cana-3837	31	9	cartesian	cartesian	ADJ
cana-3837	31	10	products	product	NOUN
cana-3837	31	11	of	of	ADP
cana-3837	31	12	interval	interval	NOUN
cana-3837	31	13	valued	value	VERB
cana-3837	31	14	intuitionistic	intuitionistic	ADJ
cana-3837	31	15	fuzzy	fuzzy	ADJ
cana-3837	31	16	sets	set	NOUN
cana-3837	31	17	.	.	PUNCT
cana-3837	32	1	finally	finally	ADV
cana-3837	32	2	,	,	PUNCT
cana-3837	32	3	we	we	PRON
cana-3837	32	4	prove	prove	VERB
cana-3837	32	5	that	that	SCONJ
cana-3837	32	6	interval	interval	NOUN
cana-3837	32	7	valued	value	VERB
cana-3837	32	8	intuitionistic	intuitionistic	ADJ
cana-3837	32	9	fuzzy	fuzzy	ADJ
cana-3837	32	10	matrices	matrix	NOUN
cana-3837	32	11	is	be	AUX
cana-3837	32	12	a	a	DET
cana-3837	32	13	closed	closed	ADJ
cana-3837	32	14	algebraic	algebraic	ADJ
cana-3837	32	15	system	system	NOUN
cana-3837	32	16	for	for	ADP
cana-3837	32	17	all	all	DET
cana-3837	32	18	these	these	DET
cana-3837	32	19	operations	operation	NOUN
cana-3837	32	20	as	as	ADP
cana-3837	32	21	fuzzy	fuzzy	ADJ
cana-3837	32	22	sets	set	NOUN
cana-3837	32	23	of	of	ADP
cana-3837	32	24	intuitionistic	intuitionistic	ADJ
cana-3837	32	25	fuzzy	fuzzy	ADJ
cana-3837	32	26	sets	set	NOUN
cana-3837	32	27	,	,	PUNCT
cana-3837	32	28	and	and	CCONJ
cana-3837	32	29	interval	interval	NOUN
cana-3837	32	30	valued	value	VERB
cana-3837	32	31	intuitionistic	intuitionistic	ADJ
cana-3837	32	32	fuzzy	fuzzy	ADJ
cana-3837	32	33	sets	set	NOUN
cana-3837	32	34	.	.	PUNCT
cana-3837	33	1	therefore	therefore	ADV
cana-3837	33	2	,	,	PUNCT
cana-3837	33	3	this	this	DET
cana-3837	33	4	paper	paper	NOUN
cana-3837	33	5	generalizes	generalize	VERB
cana-3837	33	6	the	the	DET
cana-3837	33	7	interval	interval	NOUN
cana-3837	33	8	valued	value	VERB
cana-3837	33	9	intuitionistic	intuitionistic	ADJ
cana-3837	33	10	fuzzy	fuzzy	ADJ
cana-3837	33	11	set	set	NOUN
cana-3837	33	12	theory	theory	NOUN
cana-3837	33	13	and	and	CCONJ
cana-3837	33	14	provides	provide	VERB
cana-3837	33	15	some	some	DET
cana-3837	33	16	valuable	valuable	ADJ
cana-3837	33	17	conclusions	conclusion	NOUN
cana-3837	33	18	for	for	ADP
cana-3837	33	19	the	the	DET
cana-3837	33	20	field	field	NOUN
cana-3837	33	21	of	of	ADP
cana-3837	33	22	application	application	NOUN
cana-3837	33	23	research	research	NOUN
cana-3837	33	24	of	of	ADP
cana-3837	33	25	interval	interval	NOUN
cana-3837	33	26	valued	value	VERB
cana-3837	33	27	intuitionistic	intuitionistic	ADJ
cana-3837	33	28	fuzzy	fuzzy	ADJ
cana-3837	33	29	matrices	matrix	NOUN
cana-3837	33	30	and	and	CCONJ
cana-3837	33	31	it	it	PRON
cana-3837	33	32	is	be	AUX
cana-3837	33	33	also	also	ADV
cana-3837	33	34	useful	useful	ADJ
cana-3837	33	35	to	to	ADP
cana-3837	33	36	the	the	DET
cana-3837	33	37	generalization	generalization	NOUN
cana-3837	33	38	of	of	ADP
cana-3837	33	39	interval	interval	NOUN
cana-3837	33	40	valued	value	VERB
cana-3837	33	41	intuitionistic	intuitionistic	ADJ
cana-3837	33	42	fuzzy	fuzzy	ADJ
cana-3837	33	43	reasoning	reasoning	NOUN
cana-3837	33	44	.	.	PUNCT
cana-3837	34	1	in	in	ADP
cana-3837	34	2	this	this	DET
cana-3837	34	3	article	article	NOUN
cana-3837	34	4	,	,	PUNCT
cana-3837	34	5	the	the	DET
cana-3837	34	6	intuitionistic	intuitionistic	ADJ
cana-3837	34	7	fuzzy	fuzzy	ADJ
cana-3837	34	8	set	set	NOUN
cana-3837	34	9	approach	approach	NOUN
cana-3837	34	10	using	use	VERB
cana-3837	34	11	interval	interval	NOUN
cana-3837	34	12	belief	belief	NOUN
cana-3837	34	13	degrees	degree	NOUN
cana-3837	34	14	is	be	AUX
cana-3837	34	15	introduced	introduce	VERB
cana-3837	34	16	to	to	ADP
cana-3837	34	17	interval	interval	NOUN
cana-3837	34	18	valued	value	VERB
cana-3837	34	19	intuitionistic	intuitionistic	ADJ
cana-3837	34	20	fuzzy	fuzzy	ADJ
cana-3837	34	21	matrices	matrix	NOUN
cana-3837	34	22	with	with	ADP
cana-3837	34	23	interval	interval	NOUN
cana-3837	34	24	belief	belief	NOUN
cana-3837	34	25	structures	structure	NOUN
cana-3837	34	26	.	.	PUNCT
cana-3837	35	1	then	then	ADV
cana-3837	35	2	a	a	DET
cana-3837	35	3	fuzzy	fuzzy	ADJ
cana-3837	35	4	set	set	VERB
cana-3837	35	5	analytical	analytical	ADJ
cana-3837	35	6	algorithm	algorithm	NOUN
cana-3837	35	7	is	be	AUX
cana-3837	35	8	developed	develop	VERB
cana-3837	35	9	to	to	PART
cana-3837	35	10	aggregate	aggregate	VERB
cana-3837	35	11	decision	decision	NOUN
cana-3837	35	12	attributes	attribute	NOUN
cana-3837	35	13	of	of	ADP
cana-3837	35	14	alternatives	alternative	NOUN
cana-3837	35	15	for	for	ADP
cana-3837	35	16	multicriteria	multicriteria	PROPN
cana-3837	35	17	decision	decision	NOUN
cana-3837	35	18	making	make	VERB
cana-3837	35	19	problems	problem	NOUN
cana-3837	35	20	with	with	ADP
cana-3837	35	21	interval	interval	NOUN
cana-3837	35	22	valued	value	VERB
cana-3837	35	23	intuitionistic	intuitionistic	ADJ
cana-3837	35	24	fuzzy	fuzzy	ADJ
cana-3837	35	25	matrices	matrix	NOUN
cana-3837	35	26	and	and	CCONJ
cana-3837	35	27	incomplete	incomplete	ADJ
cana-3837	35	28	decision	decision	NOUN
cana-3837	35	29	information	information	NOUN
cana-3837	35	30	.	.	PUNCT
cana-3837	36	1	a	a	DET
cana-3837	36	2	series	series	NOUN
cana-3837	36	3	of	of	ADP
cana-3837	36	4	non	non	ADJ
cana-3837	36	5	-	-	ADJ
cana-3837	36	6	linear	linear	ADJ
cana-3837	36	7	programming	programming	NOUN
cana-3837	36	8	models	model	NOUN
cana-3837	36	9	are	be	AUX
cana-3837	36	10	constructed	construct	VERB
cana-3837	36	11	based	base	VERB
cana-3837	36	12	on	on	ADP
cana-3837	36	13	criteria	criterion	NOUN
cana-3837	36	14	weights	weight	NOUN
cana-3837	36	15	intervals	interval	NOUN
cana-3837	36	16	,	,	PUNCT
cana-3837	36	17	belief	belief	NOUN
cana-3837	36	18	degrees	degree	NOUN
cana-3837	36	19	intervals	interval	NOUN
cana-3837	36	20	and	and	CCONJ
cana-3837	36	21	fuzzy	fuzzy	ADJ
cana-3837	36	22	evidential	evidential	ADJ
cana-3837	36	23	reasoning	reasoning	NOUN
cana-3837	36	24	analytical	analytical	ADJ
cana-3837	36	25	algorithm	algorithm	NOUN
cana-3837	36	26	,	,	PUNCT
cana-3837	36	27	then	then	ADV
cana-3837	36	28	the	the	DET
cana-3837	36	29	genetic	genetic	ADJ
cana-3837	36	30	algorithm	algorithm	NOUN
cana-3837	36	31	is	be	AUX
cana-3837	36	32	employed	employ	VERB
cana-3837	36	33	to	to	PART
cana-3837	36	34	solve	solve	VERB
cana-3837	36	35	the	the	DET
cana-3837	36	36	non	non	ADJ
cana-3837	36	37	-	-	ADJ
cana-3837	36	38	linear	linear	ADJ
cana-3837	36	39	models	model	NOUN
cana-3837	36	40	yielding	yield	VERB
cana-3837	36	41	the	the	DET
cana-3837	36	42	minimal	minimal	ADJ
cana-3837	36	43	and	and	CCONJ
cana-3837	36	44	maximal	maximal	ADJ
cana-3837	36	45	fuzzy	fuzzy	ADJ
cana-3837	36	46	utilities	utility	NOUN
cana-3837	36	47	of	of	ADP
cana-3837	36	48	each	each	DET
cana-3837	36	49	alternative	alternative	NOUN
cana-3837	36	50	.	.	PUNCT
cana-3837	37	1	with	with	ADP
cana-3837	37	2	our	our	PRON
cana-3837	37	3	proposed	propose	VERB
cana-3837	37	4	method	method	NOUN
cana-3837	37	5	,	,	PUNCT
cana-3837	37	6	procedures	procedure	NOUN
cana-3837	37	7	involving	involve	VERB
cana-3837	37	8	arithmetic	arithmetic	ADJ
cana-3837	37	9	operations	operation	NOUN
cana-3837	37	10	in	in	ADP
cana-3837	37	11	aforementioned	aforementioned	ADJ
cana-3837	37	12	literature	literature	NOUN
cana-3837	37	13	are	be	AUX
cana-3837	37	14	not	not	PART
cana-3837	37	15	needed	need	VERB
cana-3837	37	16	,	,	PUNCT
cana-3837	37	17	thereby	thereby	ADV
cana-3837	37	18	removing	remove	VERB
cana-3837	37	19	the	the	DET
cana-3837	37	20	limitations	limitation	NOUN
cana-3837	37	21	in	in	ADP
cana-3837	37	22	those	those	DET
cana-3837	37	23	works	work	NOUN
cana-3837	37	24	.	.	PUNCT
cana-3837	38	1	2	2	X
cana-3837	38	2	.	.	X
cana-3837	38	3	objectives	objective	NOUN
cana-3837	38	4	•	•	INTJ
cana-3837	38	5	we	we	PRON
cana-3837	38	6	introduced	introduce	VERB
cana-3837	38	7	an	an	DET
cana-3837	38	8	operation	operation	NOUN
cana-3837	38	9	and	and	CCONJ
cana-3837	38	10	relations	relation	NOUN
cana-3837	38	11	on	on	ADP
cana-3837	38	12	the	the	DET
cana-3837	38	13	cartesian	cartesian	ADJ
cana-3837	38	14	product	product	NOUN
cana-3837	38	15	of	of	ADP
cana-3837	38	16	interval	interval	NOUN
cana-3837	38	17	valued	value	VERB
cana-3837	38	18	intuitionistic	intuitionistic	ADJ
cana-3837	38	19	fuzzy	fuzzy	ADJ
cana-3837	38	20	matrices	matrix	NOUN
cana-3837	38	21	and	and	CCONJ
cana-3837	38	22	some	some	DET
cana-3837	38	23	properties	property	NOUN
cana-3837	38	24	of	of	ADP
cana-3837	38	25	the	the	DET
cana-3837	38	26	interval	interval	NOUN
cana-3837	38	27	valued	value	VERB
cana-3837	38	28	intuitionistic	intuitionistic	ADJ
cana-3837	38	29	fuzzy	fuzzy	ADJ
cana-3837	38	30	matrices	matrix	NOUN
cana-3837	38	31	are	be	AUX
cana-3837	38	32	discussed	discuss	VERB
cana-3837	38	33	.	.	PUNCT
cana-3837	39	1	•	•	NUM
cana-3837	39	2	an	an	DET
cana-3837	39	3	interval	interval	NOUN
cana-3837	39	4	valued	value	VERB
cana-3837	39	5	intuitionistic	intuitionistic	ADJ
cana-3837	39	6	fuzzy	fuzzy	ADJ
cana-3837	39	7	matrices	matrix	NOUN
cana-3837	39	8	play	play	VERB
cana-3837	39	9	an	an	DET
cana-3837	39	10	important	important	ADJ
cana-3837	39	11	role	role	NOUN
cana-3837	39	12	in	in	ADP
cana-3837	39	13	the	the	DET
cana-3837	39	14	field	field	NOUN
cana-3837	39	15	of	of	ADP
cana-3837	39	16	fuzzy	fuzzy	ADJ
cana-3837	39	17	system	system	NOUN
cana-3837	39	18	modelling	modelling	NOUN
cana-3837	39	19	.	.	PUNCT
cana-3837	40	1	an	an	DET
cana-3837	40	2	interval	interval	NOUN
cana-3837	40	3	valued	value	VERB
cana-3837	40	4	intuitionistic	intuitionistic	ADJ
cana-3837	40	5	fuzzy	fuzzy	ADJ
cana-3837	40	6	matrices	matrix	NOUN
cana-3837	40	7	are	be	AUX
cana-3837	40	8	extension	extension	NOUN
cana-3837	40	9	of	of	ADP
cana-3837	40	10	the	the	DET
cana-3837	40	11	ordinary	ordinary	ADJ
cana-3837	40	12	matrices	matrix	NOUN
cana-3837	40	13	.	.	PUNCT
cana-3837	41	1	•	•	NUM
cana-3837	41	2	five	five	NUM
cana-3837	41	3	new	new	ADJ
cana-3837	41	4	operations	operation	NOUN
cana-3837	41	5	are	be	AUX
cana-3837	41	6	introduced	introduce	VERB
cana-3837	41	7	over	over	ADP
cana-3837	41	8	extended	extended	ADJ
cana-3837	41	9	intuitionistic	intuitionistic	ADJ
cana-3837	41	10	fuzzy	fuzzy	ADJ
cana-3837	41	11	matrices	matrix	NOUN
cana-3837	41	12	set	set	VERB
cana-3837	41	13	and	and	CCONJ
cana-3837	41	14	over	over	ADP
cana-3837	41	15	their	their	PRON
cana-3837	41	16	simpler	simple	ADJ
cana-3837	41	17	cases	case	NOUN
cana-3837	41	18	,	,	PUNCT
cana-3837	41	19	such	such	ADJ
cana-3837	41	20	as	as	ADP
cana-3837	41	21	interval	interval	NOUN
cana-3837	41	22	valued	value	VERB
cana-3837	41	23	intuitionistic	intuitionistic	ADJ
cana-3837	41	24	fuzzy	fuzzy	ADJ
cana-3837	41	25	matrices	matrix	NOUN
cana-3837	41	26	,	,	PUNCT
cana-3837	41	27	extended	extend	VERB
cana-3837	41	28	interval	interval	NOUN
cana-3837	41	29	valued	value	VERB
cana-3837	41	30	intuitionistic	intuitionistic	ADJ
cana-3837	41	31	fuzzy	fuzzy	ADJ
cana-3837	41	32	matrices	matrix	NOUN
cana-3837	41	33	.	.	PUNCT
cana-3837	42	1	•	•	NUM
cana-3837	42	2	the	the	DET
cana-3837	42	3	concepts	concept	NOUN
cana-3837	42	4	of	of	ADP
cana-3837	42	5	an	an	DET
cana-3837	42	6	intuitionistic	intuitionistic	ADJ
cana-3837	42	7	fuzzy	fuzzy	ADJ
cana-3837	42	8	set	set	VERB
cana-3837	42	9	with	with	ADP
cana-3837	42	10	elements	element	NOUN
cana-3837	42	11	being	be	AUX
cana-3837	42	12	intuitionistic	intuitionistic	ADJ
cana-3837	42	13	fuzzy	fuzzy	ADJ
cana-3837	42	14	matrix	matrix	NOUN
cana-3837	42	15	and	and	CCONJ
cana-3837	42	16	of	of	ADP
cana-3837	42	17	an	an	DET
cana-3837	42	18	extended	extended	ADJ
cana-3837	42	19	interval	interval	NOUN
cana-3837	42	20	valued	value	VERB
cana-3837	42	21	intuitionistic	intuitionistic	ADJ
cana-3837	42	22	fuzzy	fuzzy	ADJ
cana-3837	42	23	matrices	matrix	NOUN
cana-3837	42	24	with	with	ADP
cana-3837	42	25	elements	element	NOUN
cana-3837	42	26	being	be	AUX
cana-3837	42	27	predicates	predicate	NOUN
cana-3837	42	28	are	be	AUX
cana-3837	42	29	introduced	introduce	VERB
cana-3837	42	30	.	.	PUNCT
cana-3837	43	1	•	•	NOUN
cana-3837	43	2	some	some	DET
cana-3837	43	3	operations	operation	NOUN
cana-3837	43	4	,	,	PUNCT
cana-3837	43	5	relations	relation	NOUN
cana-3837	43	6	and	and	CCONJ
cana-3837	43	7	operators	operator	NOUN
cana-3837	43	8	over	over	ADP
cana-3837	43	9	these	these	DET
cana-3837	43	10	new	new	ADJ
cana-3837	43	11	types	type	NOUN
cana-3837	43	12	of	of	ADP
cana-3837	43	13	matrices	matrix	NOUN
cana-3837	43	14	are	be	AUX
cana-3837	43	15	defined	define	VERB
cana-3837	43	16	.	.	PUNCT
cana-3837	44	1	some	some	DET
cana-3837	44	2	properties	property	NOUN
cana-3837	44	3	of	of	ADP
cana-3837	44	4	these	these	DET
cana-3837	44	5	ideas	idea	NOUN
cana-3837	44	6	are	be	AUX
cana-3837	44	7	discussed	discuss	VERB
cana-3837	44	8	and	and	CCONJ
cana-3837	44	9	statements	statement	NOUN
cana-3837	44	10	are	be	AUX
cana-3837	44	11	expressed	express	VERB
cana-3837	44	12	.	.	PUNCT
cana-3837	45	1	3	3	X
cana-3837	45	2	.	.	X
cana-3837	45	3	methods	method	NOUN
cana-3837	45	4	in	in	ADP
cana-3837	45	5	this	this	DET
cana-3837	45	6	section	section	NOUN
cana-3837	45	7	,	,	PUNCT
cana-3837	45	8	several	several	ADJ
cana-3837	45	9	fundamental	fundamental	ADJ
cana-3837	45	10	notions	notion	NOUN
cana-3837	45	11	about	about	ADP
cana-3837	45	12	interval	interval	NOUN
cana-3837	45	13	valued	value	VERB
cana-3837	45	14	intuitionistic	intuitionistic	ADJ
cana-3837	45	15	fuzzy	fuzzy	ADJ
cana-3837	45	16	matrices	matrix	NOUN
cana-3837	45	17	are	be	AUX
cana-3837	45	18	discussed	discuss	VERB
cana-3837	45	19	.	.	PUNCT
cana-3837	46	1	fuzzy	fuzzy	ADJ
cana-3837	46	2	matrices	matrix	NOUN
cana-3837	46	3	play	play	VERB
cana-3837	46	4	a	a	DET
cana-3837	46	5	vital	vital	ADJ
cana-3837	46	6	role	role	NOUN
cana-3837	46	7	in	in	ADP
cana-3837	46	8	scientific	scientific	ADJ
cana-3837	46	9	development	development	NOUN
cana-3837	46	10	,	,	PUNCT
cana-3837	46	11	a	a	DET
cana-3837	46	12	possible	possible	ADJ
cana-3837	46	13	application	application	NOUN
cana-3837	46	14	of	of	ADP
cana-3837	46	15	the	the	DET
cana-3837	46	16	newly	newly	ADV
cana-3837	46	17	proposed	propose	VERB
cana-3837	46	18	interval	interval	NOUN
cana-3837	46	19	valued	value	VERB
cana-3837	46	20	intuitionistic	intuitionistic	ADJ
cana-3837	46	21	fuzzy	fuzzy	ADJ
cana-3837	46	22	matrices	matrix	NOUN
cana-3837	46	23	of	of	ADP
cana-3837	46	24	the	the	DET
cana-3837	46	25	student	student	NOUN
cana-3837	46	26	’s	’s	PART
cana-3837	46	27	training	training	NOUN
cana-3837	46	28	is	be	AUX
cana-3837	46	29	discussed	discuss	VERB
cana-3837	46	30	.	.	PUNCT
cana-3837	47	1	definition	definition	NOUN
cana-3837	47	2	3.1	3.1	NUM
cana-3837	47	3	.	.	PUNCT
cana-3837	48	1	a	a	DET
cana-3837	48	2	fuzzy	fuzzy	ADJ
cana-3837	48	3	matrix	matrix	NOUN
cana-3837	48	4	may	may	AUX
cana-3837	48	5	be	be	AUX
cana-3837	48	6	matrix	matrix	NOUN
cana-3837	48	7	that	that	PRON
cana-3837	48	8	has	have	VERB
cana-3837	48	9	its	its	PRON
cana-3837	48	10	parts	part	NOUN
cana-3837	48	11	from	from	ADP
cana-3837	48	12	[	[	X
cana-3837	48	13	0	0	NUM
cana-3837	48	14	,	,	PUNCT
cana-3837	48	15	1	1	NUM
cana-3837	48	16	]	]	PUNCT
cana-3837	48	17	.	.	PUNCT
cana-3837	49	1	consider	consider	VERB
cana-3837	49	2	a	a	DET
cana-3837	49	3	matrix	matrix	NOUN
cana-3837	49	4	𝐴	𝐴	NOUN
cana-3837	49	5	=	=	PUNCT
cana-3837	50	1	[	[	X
cana-3837	50	2	𝑎𝑖𝑗]3×3	𝑎𝑖𝑗]3×3	ADP
cana-3837	50	3	where	where	SCONJ
cana-3837	50	4	𝑎𝑖𝑗	𝑎𝑖𝑗	X
cana-3837	50	5	∈	∈	PROPN
cana-3837	50	6	[	[	X
cana-3837	50	7	0,1	0,1	NUM
cana-3837	50	8	]	]	PUNCT
cana-3837	50	9	,	,	PUNCT
cana-3837	50	10	1	1	NUM
cana-3837	50	11	≤	≤	NUM
cana-3837	50	12	𝑗	𝑗	PRON
cana-3837	50	13	≤	≤	ADJ
cana-3837	50	14	𝑛.	𝑛.	NOUN
cana-3837	50	15	then	then	ADV
cana-3837	50	16	a	a	PRON
cana-3837	50	17	is	be	AUX
cana-3837	50	18	a	a	DET
cana-3837	50	19	fuzzy	fuzzy	ADJ
cana-3837	50	20	matrix	matrix	NOUN
cana-3837	50	21	[	[	X
cana-3837	50	22	fm	fm	X
cana-3837	50	23	]	]	PUNCT
cana-3837	50	24	.	.	PUNCT
cana-3837	51	1	definition	definition	NOUN
cana-3837	51	2	3.2	3.2	NUM
cana-3837	51	3	.	.	PUNCT
cana-3837	52	1	an	an	DET
cana-3837	52	2	intuitionistic	intuitionistic	ADJ
cana-3837	52	3	fuzzy	fuzzy	ADJ
cana-3837	52	4	set	set	NOUN
cana-3837	52	5	(	(	PUNCT
cana-3837	52	6	ifs	ifs	PROPN
cana-3837	52	7	)	)	PUNCT
cana-3837	52	8	a	a	PRON
cana-3837	52	9	in	in	ADP
cana-3837	52	10	e	e	PROPN
cana-3837	52	11	is	be	AUX
cana-3837	52	12	defined	define	VERB
cana-3837	52	13	as	as	ADP
cana-3837	52	14	an	an	DET
cana-3837	52	15	object	object	NOUN
cana-3837	52	16	of	of	ADP
cana-3837	52	17	the	the	DET
cana-3837	52	18	following	follow	VERB
cana-3837	52	19	form	form	NOUN
cana-3837	53	1	a	a	PRON
cana-3837	53	2	=	=	X
cana-3837	53	3	{	{	PUNCT
cana-3837	53	4	〈	〈	NOUN
cana-3837	53	5	𝑥	𝑥	NOUN
cana-3837	53	6	,	,	PUNCT
cana-3837	53	7	𝜇𝐴(𝑥	𝜇𝐴(𝑥	NUM
cana-3837	53	8	)	)	PUNCT
cana-3837	53	9	,	,	PUNCT
cana-3837	53	10	𝜈𝐴(𝑥)〉|𝑥	𝜈𝐴(𝑥)〉|𝑥	PROPN
cana-3837	53	11	∈	∈	PROPN
cana-3837	53	12	e	e	NOUN
cana-3837	53	13	}	}	PUNCT
cana-3837	53	14	where	where	SCONJ
cana-3837	53	15	the	the	DET
cana-3837	53	16	functions	function	NOUN
cana-3837	53	17	𝜇𝐴	𝜇𝐴	ADP
cana-3837	53	18	∶	∶	NOUN
cana-3837	53	19	𝐸	𝐸	NOUN
cana-3837	53	20	→	→	SYM
cana-3837	53	21	[	[	X
cana-3837	53	22	0,1	0,1	NUM
cana-3837	53	23	]	]	PUNCT
cana-3837	53	24	define	define	VERB
cana-3837	53	25	the	the	DET
cana-3837	53	26	membership	membership	NOUN
cana-3837	53	27	and	and	CCONJ
cana-3837	53	28	the	the	DET
cana-3837	53	29	communications	communication	NOUN
cana-3837	53	30	on	on	ADP
cana-3837	53	31	applied	apply	VERB
cana-3837	53	32	nonlinear	nonlinear	ADJ
cana-3837	53	33	analysis	analysis	NOUN
cana-3837	53	34	issn	issn	NOUN
cana-3837	53	35	:	:	PUNCT
cana-3837	53	36	1074	1074	NUM
cana-3837	53	37	-	-	PUNCT
cana-3837	53	38	133x	133x	NUM
cana-3837	53	39	vol	vol	NOUN
cana-3837	53	40	32	32	NUM
cana-3837	53	41	no	no	NOUN
cana-3837	53	42	.	.	PUNCT
cana-3837	54	1	9s	9s	NUM
cana-3837	54	2	(	(	PUNCT
cana-3837	54	3	2025	2025	NUM
cana-3837	54	4	)	)	PUNCT
cana-3837	54	5	52	52	NUM
cana-3837	54	6	https://internationalpubls.com	https://internationalpubls.com	NOUN
cana-3837	54	7	degree	degree	NOUN
cana-3837	54	8	of	of	ADP
cana-3837	54	9	non	non	ADJ
cana-3837	54	10	-	-	NOUN
cana-3837	54	11	membership	membership	NOUN
cana-3837	54	12	of	of	ADP
cana-3837	54	13	the	the	DET
cana-3837	54	14	element𝑥	element𝑥	NOUN
cana-3837	54	15	∈	∈	PROPN
cana-3837	54	16	e	e	NOUN
cana-3837	54	17	,	,	PUNCT
cana-3837	54	18	respectively	respectively	ADV
cana-3837	54	19	,	,	PUNCT
cana-3837	54	20	and	and	CCONJ
cana-3837	54	21	for	for	ADP
cana-3837	54	22	every	every	DET
cana-3837	54	23	𝑥	𝑥	PRON
cana-3837	54	24	∈	∈	PROPN
cana-3837	54	25	e	e	NOUN
cana-3837	54	26	,	,	PUNCT
cana-3837	54	27	0	0	NUM
cana-3837	54	28	≤	≤	NUM
cana-3837	54	29	𝜇𝐴(𝑥	𝜇𝐴(𝑥	NUM
cana-3837	54	30	)	)	PUNCT
cana-3837	55	1	+	+	NUM
cana-3837	55	2	𝜈𝐴(𝑥	𝜈𝐴(𝑥	X
cana-3837	55	3	)	)	PUNCT
cana-3837	55	4	≤	≤	NUM
cana-3837	55	5	1	1	NUM
cana-3837	55	6	.	.	PUNCT
cana-3837	56	1	obviously	obviously	ADV
cana-3837	56	2	,	,	PUNCT
cana-3837	56	3	each	each	DET
cana-3837	56	4	ordinary	ordinary	ADJ
cana-3837	56	5	fuzzy	fuzzy	ADJ
cana-3837	56	6	set	set	NOUN
cana-3837	56	7	may	may	AUX
cana-3837	56	8	be	be	AUX
cana-3837	56	9	written	write	VERB
cana-3837	56	10	as	as	ADP
cana-3837	56	11	{	{	PUNCT
cana-3837	56	12	〈	〈	NOUN
cana-3837	56	13	𝑥	𝑥	NOUN
cana-3837	56	14	,	,	PUNCT
cana-3837	56	15	𝜇𝐴(𝑥	𝜇𝐴(𝑥	NUM
cana-3837	56	16	)	)	PUNCT
cana-3837	56	17	,	,	PUNCT
cana-3837	56	18	𝜈𝐴(𝑥)〉|𝑥	𝜈𝐴(𝑥)〉|𝑥	PROPN
cana-3837	56	19	∈	∈	PROPN
cana-3837	56	20	e	e	NOUN
cana-3837	56	21	}	}	PUNCT
cana-3837	56	22	.	.	PUNCT
cana-3837	57	1	definition	definition	NOUN
cana-3837	57	2	3.3	3.3	NUM
cana-3837	57	3	.	.	PUNCT
cana-3837	58	1	the	the	DET
cana-3837	58	2	cartesian	cartesian	ADJ
cana-3837	58	3	products	product	NOUN
cana-3837	58	4	of	of	ADP
cana-3837	58	5	two	two	NUM
cana-3837	58	6	ifss	ifss	NOUN
cana-3837	58	7	a	a	PRON
cana-3837	58	8	and	and	CCONJ
cana-3837	58	9	b	b	NOUN
cana-3837	58	10	are	be	AUX
cana-3837	58	11	defined	define	VERB
cana-3837	58	12	as	as	SCONJ
cana-3837	58	13	follows	follow	VERB
cana-3837	58	14	,	,	PUNCT
cana-3837	58	15	the	the	DET
cana-3837	58	16	cartesian	cartesian	ADJ
cana-3837	58	17	product	product	NOUN
cana-3837	58	18	“	"	PUNCT
cana-3837	58	19	×1	×1	NOUN
cana-3837	58	20	”	"	PUNCT
cana-3837	58	21	then	then	ADV
cana-3837	58	22	𝐴	𝐴	PROPN
cana-3837	58	23	×1	×1	VERB
cana-3837	58	24	𝐵	𝐵	NOUN
cana-3837	58	25	=	=	NOUN
cana-3837	58	26	{	{	PUNCT
cana-3837	58	27	〈	〈	NOUN
cana-3837	58	28	〈	〈	PROPN
cana-3837	58	29	𝑥	𝑥	PROPN
cana-3837	58	30	,	,	PUNCT
cana-3837	58	31	𝑦	𝑦	NOUN
cana-3837	58	32	〉	〉	NOUN
cana-3837	58	33	,	,	PUNCT
cana-3837	58	34	𝜇𝐴(𝑥	𝜇𝐴(𝑥	NUM
cana-3837	58	35	)	)	PUNCT
cana-3837	58	36	.	.	PUNCT
cana-3837	59	1	𝜇𝐵(𝑦	𝜇𝐵(𝑦	NOUN
cana-3837	59	2	)	)	PUNCT
cana-3837	59	3	,	,	PUNCT
cana-3837	59	4	𝜈𝐴(𝑥	𝜈𝐴(𝑥	NUM
cana-3837	59	5	)	)	PUNCT
cana-3837	59	6	.	.	PUNCT
cana-3837	60	1	𝜈𝐵(𝑦)〉	𝜈𝐵(𝑦)〉	NOUN
cana-3837	60	2	│	│	NOUN
cana-3837	60	3	𝑥	𝑥	NOUN
cana-3837	60	4	∈	∈	NOUN
cana-3837	60	5	𝐸1&𝑦	𝐸1&𝑦	PROPN
cana-3837	60	6	∈	∈	PROPN
cana-3837	60	7	𝐸2	𝐸2	PROPN
cana-3837	60	8	}	}	PUNCT
cana-3837	60	9	.	.	PUNCT
cana-3837	61	1	definition	definition	NOUN
cana-3837	61	2	3.4	3.4	NUM
cana-3837	61	3	.	.	PUNCT
cana-3837	62	1	the	the	DET
cana-3837	62	2	cartesian	cartesian	ADJ
cana-3837	62	3	products	product	NOUN
cana-3837	62	4	of	of	ADP
cana-3837	62	5	two	two	NUM
cana-3837	62	6	ifss	ifss	NOUN
cana-3837	62	7	a	a	PRON
cana-3837	62	8	and	and	CCONJ
cana-3837	62	9	b	b	NOUN
cana-3837	62	10	are	be	AUX
cana-3837	62	11	defined	define	VERB
cana-3837	62	12	as	as	SCONJ
cana-3837	62	13	follows	follow	VERB
cana-3837	62	14	.	.	PUNCT
cana-3837	63	1	the	the	DET
cana-3837	63	2	cartesian	cartesian	ADJ
cana-3837	63	3	product	product	NOUN
cana-3837	63	4	“	"	PUNCT
cana-3837	63	5	×2	×2	PROPN
cana-3837	63	6	”	"	PUNCT
cana-3837	63	7	then	then	ADV
cana-3837	63	8	𝐴	𝐴	PROPN
cana-3837	63	9	×2	×2	PROPN
cana-3837	63	10	𝐵	𝐵	NOUN
cana-3837	63	11	=	=	NOUN
cana-3837	63	12	{	{	PUNCT
cana-3837	63	13	〈	〈	NOUN
cana-3837	63	14	〈	〈	PROPN
cana-3837	63	15	𝑥	𝑥	PROPN
cana-3837	63	16	,	,	PUNCT
cana-3837	63	17	𝑦	𝑦	NOUN
cana-3837	63	18	〉	〉	NOUN
cana-3837	63	19	,	,	PUNCT
cana-3837	63	20	𝜇𝐴(𝑥	𝜇𝐴(𝑥	NUM
cana-3837	63	21	)	)	PUNCT
cana-3837	63	22	+	+	CCONJ
cana-3837	63	23	𝜇𝐵(𝑦	𝜇𝐵(𝑦	NOUN
cana-3837	63	24	)	)	PUNCT
cana-3837	63	25	−	−	ADP
cana-3837	63	26	𝜇𝐴(𝑥	𝜇𝐴(𝑥	NUM
cana-3837	63	27	)	)	PUNCT
cana-3837	63	28	.	.	PUNCT
cana-3837	64	1	𝜇𝐵(𝑦	𝜇𝐵(𝑦	NOUN
cana-3837	64	2	)	)	PUNCT
cana-3837	64	3	,	,	PUNCT
cana-3837	64	4	𝜈𝐴(𝑥	𝜈𝐴(𝑥	NUM
cana-3837	64	5	)	)	PUNCT
cana-3837	64	6	.	.	PUNCT
cana-3837	65	1	𝜈𝐵(𝑦)〉	𝜈𝐵(𝑦)〉	NOUN
cana-3837	65	2	│	│	NOUN
cana-3837	65	3	𝑥	𝑥	NOUN
cana-3837	65	4	∈	∈	NOUN
cana-3837	65	5	𝐸1&𝑦	𝐸1&𝑦	PROPN
cana-3837	65	6	∈	∈	PROPN
cana-3837	65	7	𝐸2	𝐸2	PROPN
cana-3837	65	8	}	}	PUNCT
cana-3837	65	9	.	.	PUNCT
cana-3837	66	1	definition	definition	NOUN
cana-3837	66	2	3.5	3.5	NUM
cana-3837	66	3	.	.	PUNCT
cana-3837	67	1	the	the	DET
cana-3837	67	2	cartesian	cartesian	ADJ
cana-3837	67	3	products	product	NOUN
cana-3837	67	4	of	of	ADP
cana-3837	67	5	two	two	NUM
cana-3837	67	6	ifss	ifss	NOUN
cana-3837	67	7	a	a	PRON
cana-3837	67	8	and	and	CCONJ
cana-3837	67	9	b	b	NOUN
cana-3837	67	10	are	be	AUX
cana-3837	67	11	defined	define	VERB
cana-3837	67	12	as	as	SCONJ
cana-3837	67	13	follows	follow	VERB
cana-3837	67	14	.	.	PUNCT
cana-3837	68	1	the	the	DET
cana-3837	68	2	cartesian	cartesian	ADJ
cana-3837	68	3	product	product	NOUN
cana-3837	68	4	“	"	PUNCT
cana-3837	68	5	×3	×3	NOUN
cana-3837	68	6	”	"	PUNCT
cana-3837	68	7	then	then	ADV
cana-3837	68	8	𝐴	𝐴	PROPN
cana-3837	68	9	×3	×3	NOUN
cana-3837	68	10	𝐵	𝐵	NOUN
cana-3837	68	11	=	=	NOUN
cana-3837	68	12	{	{	PUNCT
cana-3837	68	13	〈	〈	NOUN
cana-3837	68	14	〈	〈	PROPN
cana-3837	68	15	𝑥	𝑥	PROPN
cana-3837	68	16	,	,	PUNCT
cana-3837	68	17	𝑦	𝑦	NOUN
cana-3837	68	18	〉	〉	NOUN
cana-3837	68	19	,	,	PUNCT
cana-3837	68	20	𝜇𝐴(𝑥	𝜇𝐴(𝑥	NUM
cana-3837	68	21	)	)	PUNCT
cana-3837	68	22	.	.	PUNCT
cana-3837	69	1	𝜇𝐵(𝑦	𝜇𝐵(𝑦	NOUN
cana-3837	69	2	)	)	PUNCT
cana-3837	69	3	,	,	PUNCT
cana-3837	69	4	𝜈𝐴(𝑥	𝜈𝐴(𝑥	NUM
cana-3837	69	5	)	)	PUNCT
cana-3837	69	6	+	+	NUM
cana-3837	69	7	𝜈𝐵(𝑦	𝜈𝐵(𝑦	NOUN
cana-3837	69	8	)	)	PUNCT
cana-3837	69	9	−	−	PROPN
cana-3837	70	1	𝜈𝐴(𝑥	𝜈𝐴(𝑥	NUM
cana-3837	70	2	)	)	PUNCT
cana-3837	70	3	.	.	PUNCT
cana-3837	71	1	𝜈𝐵(𝑦)〉	𝜈𝐵(𝑦)〉	NOUN
cana-3837	71	2	│	│	NOUN
cana-3837	71	3	𝑥	𝑥	NOUN
cana-3837	71	4	∈	∈	NOUN
cana-3837	71	5	𝐸1&𝑦	𝐸1&𝑦	PROPN
cana-3837	71	6	∈	∈	PROPN
cana-3837	71	7	𝐸2	𝐸2	PROPN
cana-3837	71	8	}	}	PUNCT
cana-3837	71	9	.	.	PUNCT
cana-3837	72	1	definition	definition	NOUN
cana-3837	72	2	3.6	3.6	NUM
cana-3837	72	3	.	.	PUNCT
cana-3837	73	1	the	the	DET
cana-3837	73	2	cartesian	cartesian	ADJ
cana-3837	73	3	products	product	NOUN
cana-3837	73	4	of	of	ADP
cana-3837	73	5	two	two	NUM
cana-3837	73	6	ifss	ifss	NOUN
cana-3837	73	7	a	a	PRON
cana-3837	73	8	and	and	CCONJ
cana-3837	73	9	b	b	NOUN
cana-3837	73	10	are	be	AUX
cana-3837	73	11	defined	define	VERB
cana-3837	73	12	as	as	SCONJ
cana-3837	73	13	follows	follow	VERB
cana-3837	73	14	.	.	PUNCT
cana-3837	74	1	the	the	DET
cana-3837	74	2	cartesian	cartesian	ADJ
cana-3837	74	3	product	product	NOUN
cana-3837	74	4	“	"	PUNCT
cana-3837	74	5	×4	×4	NOUN
cana-3837	74	6	”	"	PUNCT
cana-3837	74	7	then	then	ADV
cana-3837	74	8	𝐴	𝐴	PROPN
cana-3837	74	9	×4	×4	VERB
cana-3837	74	10	𝐵	𝐵	NOUN
cana-3837	74	11	=	=	NOUN
cana-3837	74	12	{	{	PUNCT
cana-3837	74	13	〈	〈	NOUN
cana-3837	74	14	〈	〈	NOUN
cana-3837	74	15	𝑥	𝑥	NOUN
cana-3837	74	16	,	,	PUNCT
cana-3837	74	17	𝑦〉,𝑚𝑖𝑛	𝑦〉,𝑚𝑖𝑛	PROPN
cana-3837	74	18	(	(	PUNCT
cana-3837	74	19	𝜇𝐴(𝑥	𝜇𝐴(𝑥	NOUN
cana-3837	74	20	)	)	PUNCT
cana-3837	74	21	.	.	PUNCT
cana-3837	75	1	𝜇𝐵(𝑦)),𝑚𝑎𝑥(𝜈𝐴(𝑥	𝜇𝐵(𝑦)),𝑚𝑎𝑥(𝜈𝐴(𝑥	NOUN
cana-3837	75	2	)	)	PUNCT
cana-3837	75	3	.	.	PUNCT
cana-3837	76	1	𝜈𝐵(𝑦))〉	𝜈𝐵(𝑦))〉	VERB
cana-3837	76	2	│	│	VERB
cana-3837	76	3	𝑥	𝑥	PRON
cana-3837	76	4	∈	∈	NOUN
cana-3837	76	5	𝐸1&𝑦	𝐸1&𝑦	PROPN
cana-3837	76	6	∈	∈	PROPN
cana-3837	76	7	𝐸2	𝐸2	PROPN
cana-3837	76	8	}	}	PUNCT
cana-3837	76	9	.	.	PUNCT
cana-3837	77	1	definition	definition	NOUN
cana-3837	77	2	3.7	3.7	NUM
cana-3837	77	3	.	.	PUNCT
cana-3837	78	1	the	the	DET
cana-3837	78	2	cartesian	cartesian	ADJ
cana-3837	78	3	products	product	NOUN
cana-3837	78	4	of	of	ADP
cana-3837	78	5	two	two	NUM
cana-3837	78	6	ifss	ifss	NOUN
cana-3837	78	7	a	a	PRON
cana-3837	78	8	and	and	CCONJ
cana-3837	78	9	b	b	NOUN
cana-3837	78	10	are	be	AUX
cana-3837	78	11	defined	define	VERB
cana-3837	78	12	as	as	SCONJ
cana-3837	78	13	follows	follow	VERB
cana-3837	78	14	,	,	PUNCT
cana-3837	78	15	the	the	DET
cana-3837	78	16	cartesian	cartesian	ADJ
cana-3837	78	17	product	product	NOUN
cana-3837	78	18	“	"	PUNCT
cana-3837	78	19	×5	×5	NOUN
cana-3837	78	20	”	"	PUNCT
cana-3837	78	21	then	then	ADV
cana-3837	78	22	𝐴	𝐴	VERB
cana-3837	79	1	×5	×5	NOUN
cana-3837	79	2	𝐵	𝐵	NOUN
cana-3837	79	3	=	=	NOUN
cana-3837	79	4	{	{	PUNCT
cana-3837	79	5	〈	〈	NOUN
cana-3837	79	6	〈	〈	PROPN
cana-3837	79	7	𝑥	𝑥	NOUN
cana-3837	79	8	,	,	PUNCT
cana-3837	79	9	𝑦〉,𝑚𝑎𝑥	𝑦〉,𝑚𝑎𝑥	NUM
cana-3837	79	10	(	(	PUNCT
cana-3837	79	11	𝜇𝐴(𝑥	𝜇𝐴(𝑥	NOUN
cana-3837	79	12	)	)	PUNCT
cana-3837	79	13	.	.	PUNCT
cana-3837	80	1	𝜇𝐵(𝑦)),𝑚𝑖𝑛(𝜈𝐴(𝑥	𝜇𝐵(𝑦)),𝑚𝑖𝑛(𝜈𝐴(𝑥	NOUN
cana-3837	80	2	)	)	PUNCT
cana-3837	80	3	.	.	PUNCT
cana-3837	81	1	𝜈𝐵(𝑦))〉	𝜈𝐵(𝑦))〉	VERB
cana-3837	81	2	│	│	VERB
cana-3837	81	3	𝑥	𝑥	PRON
cana-3837	81	4	∈	∈	NOUN
cana-3837	81	5	𝐸1&𝑦	𝐸1&𝑦	PROPN
cana-3837	81	6	∈	∈	PROPN
cana-3837	81	7	𝐸2	𝐸2	PROPN
cana-3837	81	8	}	}	PUNCT
cana-3837	81	9	.	.	PUNCT
cana-3837	82	1	definition	definition	NOUN
cana-3837	82	2	3.8	3.8	NUM
cana-3837	82	3	.	.	PUNCT
cana-3837	83	1	an	an	DET
cana-3837	83	2	interval	interval	NOUN
cana-3837	83	3	valued	value	VERB
cana-3837	83	4	fuzzy	fuzzy	ADJ
cana-3837	83	5	set	set	NOUN
cana-3837	83	6	(	(	PUNCT
cana-3837	83	7	ivfs	ivfs	NOUN
cana-3837	83	8	)	)	PUNCT
cana-3837	83	9	a	a	PRON
cana-3837	83	10	(	(	PUNCT
cana-3837	83	11	over	over	ADP
cana-3837	83	12	a	a	DET
cana-3837	83	13	basic	basic	ADJ
cana-3837	83	14	set	set	NOUN
cana-3837	83	15	e	e	NOUN
cana-3837	83	16	)	)	PUNCT
cana-3837	83	17	is	be	AUX
cana-3837	83	18	specified	specify	VERB
cana-3837	83	19	by	by	ADP
cana-3837	83	20	a	a	DET
cana-3837	83	21	function	function	NOUN
cana-3837	83	22	𝑀𝐴	𝑀𝐴	PROPN
cana-3837	83	23	∶	∶	NOUN
cana-3837	83	24	𝐸	𝐸	PROPN
cana-3837	83	25	→	→	SYM
cana-3837	83	26	𝐼𝑁𝑇	𝐼𝑁𝑇	PROPN
cana-3837	83	27	(	(	PUNCT
cana-3837	83	28	[	[	X
cana-3837	83	29	0,1	0,1	NUM
cana-3837	83	30	]	]	PUNCT
cana-3837	83	31	)	)	PUNCT
cana-3837	83	32	,	,	PUNCT
cana-3837	83	33	where	where	SCONJ
cana-3837	83	34	𝐼𝑁𝑇	𝐼𝑁𝑇	PROPN
cana-3837	83	35	(	(	PUNCT
cana-3837	83	36	𝑋[0,1	𝑋[0,1	PROPN
cana-3837	83	37	]	]	PUNCT
cana-3837	83	38	)	)	PUNCT
cana-3837	83	39	is	be	AUX
cana-3837	83	40	the	the	DET
cana-3837	83	41	set	set	NOUN
cana-3837	83	42	of	of	ADP
cana-3837	83	43	all	all	DET
cana-3837	83	44	intervals	interval	NOUN
cana-3837	83	45	within	within	ADP
cana-3837	83	46	[	[	X
cana-3837	83	47	0,1	0,1	NUM
cana-3837	83	48	]	]	PUNCT
cana-3837	83	49	,	,	PUNCT
cana-3837	83	50	for	for	ADP
cana-3837	83	51	all	all	DET
cana-3837	83	52	𝑥	𝑥	DET
cana-3837	83	53	∈	∈	PROPN
cana-3837	83	54	𝐸	𝐸	PROPN
cana-3837	83	55	,	,	PUNCT
cana-3837	83	56	𝑀𝐴(𝑥	𝑀𝐴(𝑥	NOUN
cana-3837	83	57	)	)	PUNCT
cana-3837	83	58	is	be	AUX
cana-3837	83	59	an	an	DET
cana-3837	83	60	interval	interval	NOUN
cana-3837	84	1	[	[	X
cana-3837	84	2	𝑎	𝑎	X
cana-3837	84	3	,	,	PUNCT
cana-3837	84	4	𝑏	𝑏	NOUN
cana-3837	84	5	]	]	X
cana-3837	84	6	,	,	PUNCT
cana-3837	84	7	0	0	NUM
cana-3837	84	8	≤	≤	NUM
cana-3837	84	9	𝑎	𝑎	PRON
cana-3837	84	10	≤	≤	NUM
cana-3837	84	11	𝑏	𝑏	DET
cana-3837	84	12	≤	≤	NUM
cana-3837	84	13	1	1	NUM
cana-3837	84	14	.	.	PUNCT
cana-3837	84	15	definition	definition	NOUN
cana-3837	84	16	3.9	3.9	NUM
cana-3837	84	17	.	.	PUNCT
cana-3837	85	1	an	an	DET
cana-3837	85	2	interval	interval	NOUN
cana-3837	85	3	valued	value	VERB
cana-3837	85	4	intuitionistic	intuitionistic	ADJ
cana-3837	85	5	fuzzy	fuzzy	ADJ
cana-3837	85	6	set	set	NOUN
cana-3837	85	7	a	a	PRON
cana-3837	85	8	is	be	AUX
cana-3837	85	9	defined	define	VERB
cana-3837	85	10	by	by	ADP
cana-3837	85	11	the	the	DET
cana-3837	85	12	membership	membership	NOUN
cana-3837	85	13	function	function	VERB
cana-3837	85	14	𝑀𝐴	𝑀𝐴	PROPN
cana-3837	85	15	∶	∶	NOUN
cana-3837	85	16	𝐸	𝐸	PROPN
cana-3837	85	17	→	→	SYM
cana-3837	85	18	𝐼𝑁𝑇	𝐼𝑁𝑇	PROPN
cana-3837	85	19	(	(	PUNCT
cana-3837	85	20	[	[	X
cana-3837	85	21	0,1	0,1	NUM
cana-3837	85	22	]	]	PUNCT
cana-3837	85	23	)	)	PUNCT
cana-3837	85	24	,	,	PUNCT
cana-3837	85	25	the	the	DET
cana-3837	85	26	non	non	ADJ
cana-3837	85	27	-	-	ADJ
cana-3837	85	28	membership	membership	ADJ
cana-3837	85	29	function	function	NOUN
cana-3837	85	30	𝑁𝐴	𝑁𝐴	PROPN
cana-3837	85	31	∶	∶	PROPN
cana-3837	85	32	𝐸	𝐸	PROPN
cana-3837	85	33	→	→	SYM
cana-3837	85	34	𝐼𝑁𝑇	𝐼𝑁𝑇	PROPN
cana-3837	85	35	(	(	PUNCT
cana-3837	85	36	[	[	X
cana-3837	85	37	0,1	0,1	NUM
cana-3837	85	38	]	]	PUNCT
cana-3837	85	39	)	)	PUNCT
cana-3837	85	40	,	,	PUNCT
cana-3837	85	41	where	where	SCONJ
cana-3837	85	42	𝐼𝑁𝑇([0,1	𝐼𝑁𝑇([0,1	NOUN
cana-3837	85	43	]	]	PUNCT
cana-3837	85	44	)	)	PUNCT
cana-3837	85	45	is	be	AUX
cana-3837	85	46	the	the	DET
cana-3837	85	47	set	set	NOUN
cana-3837	85	48	of	of	ADP
cana-3837	85	49	all	all	DET
cana-3837	85	50	subsets	subset	NOUN
cana-3837	85	51	of	of	ADP
cana-3837	85	52	the	the	DET
cana-3837	85	53	unit	unit	NOUN
cana-3837	85	54	interval	interval	NOUN
cana-3837	85	55	.	.	PUNCT
cana-3837	86	1	4	4	X
cana-3837	86	2	.	.	NOUN
cana-3837	86	3	results	result	VERB
cana-3837	86	4	main	main	ADJ
cana-3837	86	5	theorem	theorem	NOUN
cana-3837	86	6	of	of	ADP
cana-3837	86	7	cartesian	cartesian	ADJ
cana-3837	86	8	product	product	NOUN
cana-3837	86	9	of	of	ADP
cana-3837	86	10	interval	interval	NOUN
cana-3837	86	11	valued	value	VERB
cana-3837	86	12	intuitionistic	intuitionistic	ADJ
cana-3837	86	13	fuzzy	fuzzy	ADJ
cana-3837	86	14	matrices	matrix	NOUN
cana-3837	86	15	theorem	theorem	VERB
cana-3837	86	16	4.1	4.1	NUM
cana-3837	86	17	.	.	PUNCT
cana-3837	87	1	if	if	SCONJ
cana-3837	87	2	ạ	ạ	NOUN
cana-3837	87	3	×1	×1	NOUN
cana-3837	87	4	ḅ	ḅ	PROPN
cana-3837	87	5	are	be	AUX
cana-3837	87	6	an	an	DET
cana-3837	87	7	interval	interval	NOUN
cana-3837	87	8	valued	value	VERB
cana-3837	87	9	intuitionistic	intuitionistic	ADJ
cana-3837	87	10	fuzzy	fuzzy	ADJ
cana-3837	87	11	matrices	matrix	NOUN
cana-3837	87	12	,	,	PUNCT
cana-3837	87	13	then	then	ADV
cana-3837	87	14	πα	πα	PRON
cana-3837	87	15	,	,	PUNCT
cana-3837	87	16	β(ạ	β(ạ	NOUN
cana-3837	87	17	×1	×1	VERB
cana-3837	87	18	ḅ	ḅ	NOUN
cana-3837	87	19	)	)	PUNCT
cana-3837	87	20	and	and	CCONJ
cana-3837	87	21	ωα	ωα	ADP
cana-3837	87	22	,	,	PUNCT
cana-3837	87	23	β(ạ	β(ạ	NOUN
cana-3837	87	24	×1	×1	VERB
cana-3837	87	25	ḅ	ḅ	NOUN
cana-3837	87	26	)	)	PUNCT
cana-3837	87	27	is	be	AUX
cana-3837	87	28	also	also	ADV
cana-3837	87	29	an	an	DET
cana-3837	87	30	interval	interval	NOUN
cana-3837	87	31	valued	value	VERB
cana-3837	87	32	intuitionistic	intuitionistic	ADJ
cana-3837	87	33	fuzzy	fuzzy	ADJ
cana-3837	87	34	matrices	matrix	NOUN
cana-3837	87	35	.	.	PUNCT
cana-3837	88	1	proof	proof	NOUN
cana-3837	88	2	.	.	PUNCT
cana-3837	89	1	let	let	VERB
cana-3837	89	2	us	we	PRON
cana-3837	89	3	consider	consider	VERB
cana-3837	89	4	ạ	ạ	NOUN
cana-3837	89	5	have	have	VERB
cana-3837	89	6	3×4	3×4	NUM
cana-3837	89	7	matrix	matrix	NOUN
cana-3837	89	8	and	and	CCONJ
cana-3837	89	9	ḅ	ḅ	NOUN
cana-3837	89	10	have	have	VERB
cana-3837	89	11	4×3	4×3	NOUN
cana-3837	89	12	matrix	matrix	NOUN
cana-3837	89	13	both	both	PRON
cana-3837	89	14	are	be	AUX
cana-3837	89	15	an	an	DET
cana-3837	89	16	interval	interval	NOUN
cana-3837	89	17	valued	value	VERB
cana-3837	89	18	intuitionistic	intuitionistic	ADJ
cana-3837	89	19	fuzzy	fuzzy	ADJ
cana-3837	89	20	matrices	matrix	NOUN
cana-3837	89	21	.	.	PUNCT
cana-3837	90	1	then	then	ADV
cana-3837	90	2	πα	πα	INTJ
cana-3837	90	3	,	,	PUNCT
cana-3837	90	4	β(ạ	β(ạ	NOUN
cana-3837	90	5	×1	×1	VERB
cana-3837	90	6	ḅ	ḅ	NOUN
cana-3837	90	7	)	)	PUNCT
cana-3837	91	1	=	=	PUNCT
cana-3837	92	1	[	[	PUNCT
cana-3837	92	2	(	(	PUNCT
cana-3837	92	3	min	min	NOUN
cana-3837	92	4	[	[	X
cana-3837	92	5	𝛼	𝛼	X
cana-3837	92	6	,	,	PUNCT
cana-3837	92	7	𝜇𝐴	𝜇𝐴	ADP
cana-3837	92	8	𝐿	𝐿	NOUN
cana-3837	92	9	.	.	PUNCT
cana-3837	93	1	𝜇𝑩	𝜇𝑩	PROPN
cana-3837	93	2	𝐿	𝐿	PROPN
cana-3837	93	3	]	]	PUNCT
cana-3837	93	4	,	,	PUNCT
cana-3837	93	5	min	min	NOUN
cana-3837	94	1	[	[	X
cana-3837	94	2	𝛼	𝛼	X
cana-3837	94	3	,	,	PUNCT
cana-3837	94	4	𝜇𝐴	𝜇𝐴	ADP
cana-3837	94	5	𝑈.	𝑈.	PROPN
cana-3837	94	6	𝜇𝐵	𝜇𝐵	VERB
cana-3837	94	7	𝑈	𝑈	PROPN
cana-3837	94	8	]	]	PUNCT
cana-3837	94	9	)	)	PUNCT
cana-3837	94	10	]	]	PUNCT
cana-3837	94	11	,	,	PUNCT
cana-3837	94	12	[	[	X
cana-3837	94	13	(	(	PUNCT
cana-3837	94	14	max	max	PROPN
cana-3837	94	15	[	[	X
cana-3837	94	16	β	β	X
cana-3837	94	17	,	,	PUNCT
cana-3837	94	18	𝐴	𝐴	PROPN
cana-3837	94	19	𝐿	𝐿	PROPN
cana-3837	94	20	.	.	PUNCT
cana-3837	95	1	𝑩	𝑩	PROPN
cana-3837	95	2	𝐿	𝐿	PROPN
cana-3837	95	3	]	]	PUNCT
cana-3837	95	4	,	,	PUNCT
cana-3837	95	5	max	max	PROPN
cana-3837	96	1	[	[	X
cana-3837	96	2	β	β	X
cana-3837	96	3	,	,	PUNCT
cana-3837	96	4	𝐴	𝐴	PROPN
cana-3837	96	5	𝑈	𝑈	PROPN
cana-3837	96	6	.	.	PUNCT
cana-3837	97	1	𝐵	𝐵	PROPN
cana-3837	97	2	𝑈	𝑈	PROPN
cana-3837	97	3	]	]	PUNCT
cana-3837	97	4	)	)	PUNCT
cana-3837	97	5	]	]	PUNCT
cana-3837	97	6	and	and	CCONJ
cana-3837	97	7	ωα	ωα	X
cana-3837	97	8	,	,	PUNCT
cana-3837	97	9	β(ạ	β(ạ	NOUN
cana-3837	97	10	×1	×1	VERB
cana-3837	97	11	ḅ	ḅ	NOUN
cana-3837	97	12	)	)	PUNCT
cana-3837	97	13	=	=	NOUN
cana-3837	98	1	[	[	PUNCT
cana-3837	98	2	(	(	PUNCT
cana-3837	98	3	max	max	PROPN
cana-3837	98	4	[	[	X
cana-3837	98	5	𝛼	𝛼	X
cana-3837	98	6	,	,	PUNCT
cana-3837	98	7	𝜇𝐴	𝜇𝐴	ADP
cana-3837	98	8	𝐿	𝐿	NOUN
cana-3837	98	9	.	.	PUNCT
cana-3837	99	1	𝜇𝑩	𝜇𝑩	PROPN
cana-3837	99	2	𝐿	𝐿	PROPN
cana-3837	99	3	]	]	PUNCT
cana-3837	99	4	,	,	PUNCT
cana-3837	99	5	max	max	PROPN
cana-3837	100	1	[	[	X
cana-3837	100	2	𝛼	𝛼	X
cana-3837	100	3	,	,	PUNCT
cana-3837	100	4	𝜇𝐴	𝜇𝐴	ADP
cana-3837	100	5	𝑈.	𝑈.	PROPN
cana-3837	100	6	𝜇𝐵	𝜇𝐵	VERB
cana-3837	100	7	𝑈	𝑈	PROPN
cana-3837	100	8	]	]	PUNCT
cana-3837	100	9	)	)	PUNCT
cana-3837	100	10	]	]	PUNCT
cana-3837	100	11	,	,	PUNCT
cana-3837	100	12	[	[	X
cana-3837	100	13	(	(	PUNCT
cana-3837	100	14	min	min	NOUN
cana-3837	100	15	[	[	X
cana-3837	100	16	β	β	X
cana-3837	100	17	,	,	PUNCT
cana-3837	100	18	𝐴	𝐴	PROPN
cana-3837	100	19	𝐿	𝐿	PROPN
cana-3837	100	20	.	.	PUNCT
cana-3837	101	1	𝑩	𝑩	PROPN
cana-3837	101	2	𝐿	𝐿	PROPN
cana-3837	101	3	]	]	PUNCT
cana-3837	101	4	,	,	PUNCT
cana-3837	101	5	min	min	NOUN
cana-3837	102	1	[	[	X
cana-3837	102	2	β	β	X
cana-3837	102	3	,	,	PUNCT
cana-3837	102	4	𝐴	𝐴	PROPN
cana-3837	102	5	𝑈	𝑈	PROPN
cana-3837	102	6	.	.	PUNCT
cana-3837	103	1	𝐵	𝐵	PROPN
cana-3837	103	2	𝑈	𝑈	PROPN
cana-3837	103	3	]	]	PUNCT
cana-3837	103	4	)	)	PUNCT
cana-3837	103	5	]	]	PUNCT
cana-3837	103	6	.	.	PUNCT
cana-3837	104	1	ạ	ạ	NOUN
cana-3837	104	2	×1	×1	NOUN
cana-3837	104	3	ḅ	ḅ	NOUN
cana-3837	104	4	=	=	PUNCT
cana-3837	104	5	(	(	PUNCT
cana-3837	104	6	𝜏11	𝜏11	NOUN
cana-3837	104	7	𝜏12	𝜏12	X
cana-3837	104	8	𝜏13	𝜏13	PROPN
cana-3837	104	9	𝜏21	𝜏21	PROPN
cana-3837	104	10	𝜏22	𝜏22	PROPN
cana-3837	104	11	𝜏23	𝜏23	X
cana-3837	104	12	𝜏31	𝜏31	PROPN
cana-3837	104	13	𝜏32	𝜏32	PROPN
cana-3837	104	14	𝜏33	𝜏33	NOUN
cana-3837	104	15	)	)	PUNCT
cana-3837	104	16	and	and	CCONJ
cana-3837	104	17	ạ	ạ	NOUN
cana-3837	104	18	×1	×1	NOUN
cana-3837	104	19	ḅ	ḅ	NOUN
cana-3837	104	20	=	=	PUNCT
cana-3837	104	21	(	(	PUNCT
cana-3837	104	22	𝜔11	𝜔11	PROPN
cana-3837	104	23	𝜔12	𝜔12	ADV
cana-3837	104	24	𝜔13	𝜔13	ADJ
cana-3837	104	25	𝜔21	𝜔21	NOUN
cana-3837	104	26	𝜔22	𝜔22	NOUN
cana-3837	104	27	𝜔23	𝜔23	NUM
cana-3837	104	28	𝜔31	𝜔31	NOUN
cana-3837	104	29	𝜔32	𝜔32	ADJ
cana-3837	104	30	𝜔33	𝜔33	NOUN
cana-3837	104	31	)	)	PUNCT
cana-3837	104	32	πα	πα	PROPN
cana-3837	104	33	,	,	PUNCT
cana-3837	104	34	β(ạ×1ḅ)=	β(ạ×1ḅ)=	NUM
cana-3837	104	35	(	(	PUNCT
cana-3837	104	36	[	[	X
cana-3837	104	37	𝜖11	𝜖11	NOUN
cana-3837	104	38	𝜃11	𝜃11	NOUN
cana-3837	104	39	𝜎11	𝜎11	PROPN
cana-3837	104	40	𝜋11	𝜋11	NOUN
cana-3837	104	41	]	]	PUNCT
cana-3837	105	1	[	[	X
cana-3837	105	2	𝜖12	𝜖12	NOUN
cana-3837	105	3	𝜃12	𝜃12	PROPN
cana-3837	105	4	𝜎12	𝜎12	NUM
cana-3837	105	5	𝜋12	𝜋12	NOUN
cana-3837	105	6	]	]	PUNCT
cana-3837	106	1	[	[	X
cana-3837	106	2	𝜖13	𝜖13	ADJ
cana-3837	106	3	𝜃13	𝜃13	X
cana-3837	106	4	𝜎13	𝜎13	ADJ
cana-3837	106	5	𝜋13	𝜋13	NOUN
cana-3837	106	6	]	]	PUNCT
cana-3837	107	1	[	[	X
cana-3837	107	2	𝜖21	𝜖21	ADJ
cana-3837	107	3	𝜃21	𝜃21	NOUN
cana-3837	107	4	𝜎21	𝜎21	NOUN
cana-3837	107	5	𝜋21	𝜋21	PROPN
cana-3837	107	6	]	]	PUNCT
cana-3837	108	1	[	[	X
cana-3837	108	2	𝜖22	𝜖22	NOUN
cana-3837	108	3	𝜃22	𝜃22	NOUN
cana-3837	108	4	𝜎22	𝜎22	PROPN
cana-3837	108	5	𝜋22	𝜋22	NOUN
cana-3837	108	6	]	]	PUNCT
cana-3837	109	1	[	[	X
cana-3837	109	2	𝜖23	𝜖23	PROPN
cana-3837	109	3	𝜃23	𝜃23	PROPN
cana-3837	109	4	𝜎23	𝜎23	PROPN
cana-3837	109	5	𝜋23	𝜋23	NOUN
cana-3837	109	6	]	]	PUNCT
cana-3837	110	1	[	[	X
cana-3837	110	2	𝜖31	𝜖31	NOUN
cana-3837	110	3	𝜃31	𝜃31	NUM
cana-3837	110	4	𝜎31	𝜎31	NOUN
cana-3837	110	5	𝜋31	𝜋31	NOUN
cana-3837	110	6	]	]	X
cana-3837	111	1	[	[	X
cana-3837	111	2	𝜖32	𝜖32	NOUN
cana-3837	111	3	𝜃32	𝜃32	PROPN
cana-3837	111	4	𝜎32	𝜎32	NOUN
cana-3837	111	5	𝜋32	𝜋32	NOUN
cana-3837	111	6	]	]	PUNCT
cana-3837	112	1	[	[	X
cana-3837	112	2	𝜖33	𝜖33	ADJ
cana-3837	112	3	𝜃33	𝜃33	NOUN
cana-3837	112	4	𝜎33	𝜎33	NOUN
cana-3837	112	5	𝜋33	𝜋33	NOUN
cana-3837	112	6	]	]	PUNCT
cana-3837	113	1	[	[	X
cana-3837	113	2	𝜖14	𝜖14	NOUN
cana-3837	113	3	𝜃14	𝜃14	VERB
cana-3837	113	4	𝜎14	𝜎14	NOUN
cana-3837	113	5	𝜋14	𝜋14	NOUN
cana-3837	113	6	]	]	PUNCT
cana-3837	114	1	[	[	X
cana-3837	114	2	𝜖24	𝜖24	NUM
cana-3837	114	3	𝜃24	𝜃24	NOUN
cana-3837	114	4	𝜎24	𝜎24	VERB
cana-3837	114	5	𝜋24	𝜋24	NOUN
cana-3837	114	6	]	]	PUNCT
cana-3837	115	1	[	[	X
cana-3837	115	2	𝜖34	𝜖34	NOUN
cana-3837	115	3	𝜃34	𝜃34	VERB
cana-3837	115	4	𝜎34	𝜎34	PROPN
cana-3837	115	5	𝜋34	𝜋34	PROPN
cana-3837	115	6	]	]	PUNCT
cana-3837	115	7	)	)	PUNCT
cana-3837	115	8	×1	×1	VERB
cana-3837	115	9	communications	communication	NOUN
cana-3837	115	10	on	on	ADP
cana-3837	115	11	applied	apply	VERB
cana-3837	115	12	nonlinear	nonlinear	ADJ
cana-3837	115	13	analysis	analysis	NOUN
cana-3837	115	14	issn	issn	NOUN
cana-3837	115	15	:	:	PUNCT
cana-3837	115	16	1074	1074	NUM
cana-3837	115	17	-	-	PUNCT
cana-3837	115	18	133x	133x	NUM
cana-3837	115	19	vol	vol	NOUN
cana-3837	115	20	32	32	NUM
cana-3837	115	21	no	no	NOUN
cana-3837	115	22	.	.	PUNCT
cana-3837	116	1	9s	9s	NUM
cana-3837	116	2	(	(	PUNCT
cana-3837	116	3	2025	2025	NUM
cana-3837	116	4	)	)	PUNCT
cana-3837	116	5	53	53	NUM
cana-3837	116	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3837	116	7	(	(	PUNCT
cana-3837	117	1	[	[	X
cana-3837	117	2	11	11	X
cana-3837	117	3	𝜌11	𝜌11	ADJ
cana-3837	117	4			NOUN
cana-3837	117	5	11	11	NUM
cana-3837	117	6			NOUN
cana-3837	117	7	11	11	NUM
cana-3837	117	8	]	]	PUNCT
cana-3837	118	1	[	[	X
cana-3837	118	2	12	12	X
cana-3837	118	3	𝜌12	𝜌12	ADJ
cana-3837	118	4			NOUN
cana-3837	118	5	12	12	NUM
cana-3837	118	6			NOUN
cana-3837	118	7	12	12	NUM
cana-3837	118	8	]	]	PUNCT
cana-3837	119	1	[	[	X
cana-3837	119	2	13	13	VERB
cana-3837	119	3	𝜌13	𝜌13	ADJ
cana-3837	119	4			NOUN
cana-3837	119	5	13	13	NUM
cana-3837	119	6			NOUN
cana-3837	119	7	13	13	NUM
cana-3837	119	8	]	]	PUNCT
cana-3837	120	1	[	[	X
cana-3837	120	2	21	21	NOUN
cana-3837	120	3	𝜌21	𝜌21	NOUN
cana-3837	120	4			NOUN
cana-3837	120	5	21	21	NUM
cana-3837	120	6			NOUN
cana-3837	120	7	21	21	NUM
cana-3837	120	8	]	]	PUNCT
cana-3837	121	1	[	[	X
cana-3837	121	2	22	22	NOUN
cana-3837	121	3	𝜌22	𝜌22	NOUN
cana-3837	121	4			NOUN
cana-3837	121	5	22	22	NUM
cana-3837	121	6			NOUN
cana-3837	121	7	22	22	NUM
cana-3837	121	8	]	]	PUNCT
cana-3837	122	1	[	[	X
cana-3837	122	2	23	23	X
cana-3837	122	3	𝜌23	𝜌23	VERB
cana-3837	122	4			NOUN
cana-3837	122	5	23	23	NUM
cana-3837	122	6			NOUN
cana-3837	122	7	23	23	NUM
cana-3837	122	8	]	]	PUNCT
cana-3837	123	1	[	[	X
cana-3837	123	2	31	31	PRON
cana-3837	123	3	𝜌31	𝜌31	ADJ
cana-3837	123	4			NOUN
cana-3837	123	5	31	31	NUM
cana-3837	123	6			NOUN
cana-3837	123	7	31	31	NUM
cana-3837	123	8	]	]	PUNCT
cana-3837	124	1	[	[	X
cana-3837	124	2	32	32	X
cana-3837	124	3	𝜌32	𝜌32	NOUN
cana-3837	124	4			NOUN
cana-3837	124	5	32	32	NUM
cana-3837	124	6			NOUN
cana-3837	124	7	32	32	NUM
cana-3837	124	8	]	]	PUNCT
cana-3837	125	1	[	[	X
cana-3837	125	2	33	33	DET
cana-3837	125	3	𝜌33	𝜌33	NOUN
cana-3837	125	4			NOUN
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cana-3837	130	2	[	[	X
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cana-3837	130	21	]	]	PUNCT
cana-3837	130	22	,	,	PUNCT
cana-3837	130	23	[	[	X
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cana-3837	130	25	(	(	PUNCT
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cana-3837	130	29	∙	∙	PROPN
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cana-3837	131	2	[	[	X
cana-3837	131	3	min	min	X
cana-3837	131	4	(	(	PUNCT
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cana-3837	131	10	)	)	PUNCT
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cana-3837	131	21	,	,	PUNCT
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cana-3837	131	28	∙	∙	PROPN
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cana-3837	132	1	+	+	PUNCT
cana-3837	132	2	[	[	X
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cana-3837	132	4	(	(	PUNCT
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cana-3837	132	19	)	)	PUNCT
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cana-3837	132	21	,	,	PUNCT
cana-3837	132	22	[	[	X
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cana-3837	132	28	∙	∙	PROPN
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cana-3837	132	42	.	.	PUNCT
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cana-3837	133	10	.	.	PUNCT
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cana-3837	134	21	,	,	PUNCT
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cana-3837	136	1	+	+	PUNCT
cana-3837	136	2	[	[	X
cana-3837	136	3	min	min	X
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cana-3837	136	21	,	,	PUNCT
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cana-3837	136	31	,	,	PUNCT
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cana-3837	136	34	β	β	X
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cana-3837	136	41	.	.	PUNCT
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cana-3837	137	23	∙	∙	PROPN
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cana-3837	137	26	,	,	PUNCT
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cana-3837	137	29	α	α	NOUN
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cana-3837	143	41	.	.	PUNCT
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cana-3837	144	20	∙	∙	PROPN
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cana-3837	144	23	,	,	PUNCT
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cana-3837	144	25	(	(	PUNCT
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cana-3837	144	33	,	,	PUNCT
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cana-3837	144	35	min	min	X
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cana-3837	144	37	β	β	X
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cana-3837	144	40	∙	∙	PROPN
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cana-3837	144	46	β	β	X
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cana-3837	144	49	∙	∙	PROPN
cana-3837	144	50	11	11	PROPN
cana-3837	144	51	)	)	PUNCT
cana-3837	144	52	]	]	PUNCT
cana-3837	145	1	+	+	CCONJ
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cana-3837	145	21	]	]	PUNCT
cana-3837	145	22	,	,	PUNCT
cana-3837	145	23	[	[	X
cana-3837	145	24	min	min	X
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cana-3837	145	29	∙	∙	PROPN
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cana-3837	145	32	,	,	PUNCT
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cana-3837	159	32	133x	133x	NUM
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cana-3837	161	2	(	(	PUNCT
cana-3837	161	3	2025	2025	NUM
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cana-3837	161	5	54	54	NUM
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cana-3837	162	10	.	.	PROPN
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cana-3837	164	5	(	(	PUNCT
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cana-3837	164	7	(	(	PUNCT
cana-3837	164	8	[	[	PUNCT
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cana-3837	164	20	α	α	NOUN
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cana-3837	164	27	,	,	PUNCT
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cana-3837	164	34	∙	∙	PROPN
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cana-3837	164	89	,	,	PUNCT
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cana-3837	165	14	α	α	X
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cana-3837	165	21	,	,	PUNCT
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cana-3837	165	42	,	,	PUNCT
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cana-3837	166	20	,	,	PUNCT
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cana-3837	166	36	∙	∙	PROPN
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cana-3837	166	41	.	.	PUNCT
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cana-3837	167	10	.	.	PROPN
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cana-3837	167	16	ḅ	ḅ	NOUN
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cana-3837	167	20	,	,	PUNCT
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cana-3837	167	22	×1	×1	VERB
cana-3837	167	23	ḅ	ḅ	NOUN
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cana-3837	169	8	valued	value	VERB
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cana-3837	169	10	fuzzy	fuzzy	ADJ
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cana-3837	170	10	interval	interval	NOUN
cana-3837	170	11	valued	value	VERB
cana-3837	170	12	intuitionistic	intuitionistic	ADJ
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cana-3837	172	12	matrix	matrix	NOUN
cana-3837	172	13	both	both	PRON
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cana-3837	174	8	𝐿+	𝐿+	SYM
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cana-3837	174	11	−	−	PROPN
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cana-3837	174	15	𝜇𝑩	𝜇𝑩	PROPN
cana-3837	174	16	𝐿	𝐿	PROPN
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cana-3837	175	9	−	−	NOUN
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cana-3837	175	11	𝑈.	𝑈.	PROPN
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cana-3837	175	21	[	[	X
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cana-3837	175	24	.	.	PUNCT
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cana-3837	177	10	]	]	PUNCT
cana-3837	177	11	and	and	CCONJ
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cana-3837	177	16	ḅ	ḅ	NOUN
cana-3837	177	17	)	)	PUNCT
cana-3837	177	18	=	=	PUNCT
cana-3837	178	1	[	[	X
cana-3837	178	2	(	(	PUNCT
cana-3837	178	3	max	max	PROPN
cana-3837	178	4	[	[	X
cana-3837	178	5	𝛼	𝛼	X
cana-3837	178	6	,	,	PUNCT
cana-3837	178	7	𝜇𝐴	𝜇𝐴	ADP
cana-3837	178	8	𝐿	𝐿	NOUN
cana-3837	178	9	+	+	PROPN
cana-3837	178	10	𝜇𝑩	𝜇𝑩	PROPN
cana-3837	178	11	𝐿	𝐿	NOUN
cana-3837	178	12	−	−	NOUN
cana-3837	178	13	𝜇𝐴	𝜇𝐴	ADP
cana-3837	178	14	𝐿	𝐿	PROPN
cana-3837	178	15	∙	∙	PROPN
cana-3837	178	16	𝜇𝑩	𝜇𝑩	PROPN
cana-3837	178	17	𝐿	𝐿	PROPN
cana-3837	178	18	]	]	PUNCT
cana-3837	178	19	,	,	PUNCT
cana-3837	178	20	max	max	PROPN
cana-3837	179	1	[	[	X
cana-3837	179	2	𝛼	𝛼	AUX
cana-3837	179	3	,	,	PUNCT
cana-3837	179	4	𝜇𝐴	𝜇𝐴	ADP
cana-3837	179	5	𝑈	𝑈	PROPN
cana-3837	179	6	+	+	CCONJ
cana-3837	179	7	𝜇𝐵	𝜇𝐵	VERB
cana-3837	179	8	𝑈	𝑈	NOUN
cana-3837	179	9	−	−	NOUN
cana-3837	179	10	𝜇𝐴	𝜇𝐴	ADP
cana-3837	179	11	𝑈.	𝑈.	PROPN
cana-3837	179	12	𝜇𝐵	𝜇𝐵	VERB
cana-3837	179	13	𝑈	𝑈	PROPN
cana-3837	179	14	]	]	PUNCT
cana-3837	179	15	)	)	PUNCT
cana-3837	179	16	]	]	PUNCT
cana-3837	179	17	,	,	PUNCT
cana-3837	179	18	[	[	X
cana-3837	179	19	(	(	PUNCT
cana-3837	179	20	min	min	NOUN
cana-3837	179	21	[	[	X
cana-3837	179	22	β	β	X
cana-3837	179	23	,	,	PUNCT
cana-3837	179	24	𝐴	𝐴	PROPN
cana-3837	179	25	𝐿	𝐿	PROPN
cana-3837	179	26	.	.	PUNCT
cana-3837	180	1	𝑩	𝑩	PROPN
cana-3837	180	2	𝐿	𝐿	PROPN
cana-3837	180	3	]	]	PUNCT
cana-3837	180	4	,	,	PUNCT
cana-3837	180	5	min	min	NOUN
cana-3837	181	1	[	[	X
cana-3837	181	2	β	β	X
cana-3837	181	3	,	,	PUNCT
cana-3837	181	4	𝐴	𝐴	PROPN
cana-3837	181	5	𝑈.	𝑈.	PROPN
cana-3837	181	6	𝐵	𝐵	PROPN
cana-3837	181	7	𝑈	𝑈	PROPN
cana-3837	181	8	]	]	PUNCT
cana-3837	181	9	)	)	PUNCT
cana-3837	181	10	]	]	PUNCT
cana-3837	181	11	.	.	PUNCT
cana-3837	182	1	ạ	ạ	X
cana-3837	182	2	×2	×2	PROPN
cana-3837	182	3	ḅ	ḅ	NOUN
cana-3837	182	4	=	=	PUNCT
cana-3837	182	5	(	(	PUNCT
cana-3837	182	6	𝜏11	𝜏11	NOUN
cana-3837	182	7	𝜏12	𝜏12	X
cana-3837	182	8	𝜏13	𝜏13	PROPN
cana-3837	182	9	𝜏21	𝜏21	PROPN
cana-3837	182	10	𝜏22	𝜏22	PROPN
cana-3837	182	11	𝜏23	𝜏23	X
cana-3837	182	12	𝜏31	𝜏31	PROPN
cana-3837	182	13	𝜏32	𝜏32	PROPN
cana-3837	182	14	𝜏33	𝜏33	NOUN
cana-3837	182	15	)	)	PUNCT
cana-3837	182	16	and	and	CCONJ
cana-3837	182	17	ạ	ạ	X
cana-3837	182	18	×2	×2	PROPN
cana-3837	182	19	ḅ	ḅ	NOUN
cana-3837	182	20	=	=	PUNCT
cana-3837	182	21	(	(	PUNCT
cana-3837	182	22	𝜔11	𝜔11	PROPN
cana-3837	182	23	𝜔12	𝜔12	ADV
cana-3837	182	24	𝜔13	𝜔13	ADJ
cana-3837	182	25	𝜔21	𝜔21	NOUN
cana-3837	182	26	𝜔22	𝜔22	NOUN
cana-3837	182	27	𝜔23	𝜔23	NUM
cana-3837	182	28	𝜔31	𝜔31	NOUN
cana-3837	182	29	𝜔32	𝜔32	ADJ
cana-3837	182	30	𝜔33	𝜔33	NOUN
cana-3837	182	31	)	)	PUNCT
cana-3837	182	32	πα	πα	PROPN
cana-3837	182	33	,	,	PUNCT
cana-3837	182	34	β(ạ×2ḅ)=	β(ạ×2ḅ)=	NUM
cana-3837	182	35	(	(	PUNCT
cana-3837	182	36	[	[	X
cana-3837	182	37	𝜖11	𝜖11	NOUN
cana-3837	182	38	𝜃11	𝜃11	NOUN
cana-3837	182	39	𝜎11	𝜎11	PROPN
cana-3837	182	40	𝜋11	𝜋11	NOUN
cana-3837	182	41	]	]	PUNCT
cana-3837	183	1	[	[	X
cana-3837	183	2	𝜖12	𝜖12	NOUN
cana-3837	183	3	𝜃12	𝜃12	PROPN
cana-3837	183	4	𝜎12	𝜎12	NUM
cana-3837	183	5	𝜋12	𝜋12	NOUN
cana-3837	183	6	]	]	PUNCT
cana-3837	184	1	[	[	X
cana-3837	184	2	𝜖13	𝜖13	ADJ
cana-3837	184	3	𝜃13	𝜃13	X
cana-3837	184	4	𝜎13	𝜎13	ADJ
cana-3837	184	5	𝜋13	𝜋13	NOUN
cana-3837	184	6	]	]	PUNCT
cana-3837	185	1	[	[	X
cana-3837	185	2	𝜖21	𝜖21	ADJ
cana-3837	185	3	𝜃21	𝜃21	NOUN
cana-3837	185	4	𝜎21	𝜎21	NOUN
cana-3837	185	5	𝜋21	𝜋21	PROPN
cana-3837	185	6	]	]	PUNCT
cana-3837	186	1	[	[	X
cana-3837	186	2	𝜖22	𝜖22	NOUN
cana-3837	186	3	𝜃22	𝜃22	NOUN
cana-3837	186	4	𝜎22	𝜎22	PROPN
cana-3837	186	5	𝜋22	𝜋22	NOUN
cana-3837	186	6	]	]	PUNCT
cana-3837	187	1	[	[	X
cana-3837	187	2	𝜖23	𝜖23	PROPN
cana-3837	187	3	𝜃23	𝜃23	PROPN
cana-3837	187	4	𝜎23	𝜎23	PROPN
cana-3837	187	5	𝜋23	𝜋23	NOUN
cana-3837	187	6	]	]	PUNCT
cana-3837	188	1	[	[	X
cana-3837	188	2	𝜖31	𝜖31	NOUN
cana-3837	188	3	𝜃31	𝜃31	NUM
cana-3837	188	4	𝜎31	𝜎31	NOUN
cana-3837	188	5	𝜋31	𝜋31	NOUN
cana-3837	188	6	]	]	X
cana-3837	189	1	[	[	X
cana-3837	189	2	𝜖32	𝜖32	NOUN
cana-3837	189	3	𝜃32	𝜃32	PROPN
cana-3837	189	4	𝜎32	𝜎32	NOUN
cana-3837	189	5	𝜋32	𝜋32	NOUN
cana-3837	189	6	]	]	PUNCT
cana-3837	190	1	[	[	X
cana-3837	190	2	𝜖33	𝜖33	ADJ
cana-3837	190	3	𝜃33	𝜃33	NOUN
cana-3837	190	4	𝜎33	𝜎33	NOUN
cana-3837	190	5	𝜋33	𝜋33	NOUN
cana-3837	190	6	]	]	PUNCT
cana-3837	191	1	[	[	X
cana-3837	191	2	𝜖14	𝜖14	NOUN
cana-3837	191	3	𝜃14	𝜃14	VERB
cana-3837	191	4	𝜎14	𝜎14	NOUN
cana-3837	191	5	𝜋14	𝜋14	NOUN
cana-3837	191	6	]	]	PUNCT
cana-3837	192	1	[	[	X
cana-3837	192	2	𝜖24	𝜖24	NUM
cana-3837	192	3	𝜃24	𝜃24	NOUN
cana-3837	192	4	𝜎24	𝜎24	VERB
cana-3837	192	5	𝜋24	𝜋24	NOUN
cana-3837	192	6	]	]	PUNCT
cana-3837	193	1	[	[	X
cana-3837	193	2	𝜖34	𝜖34	NOUN
cana-3837	193	3	𝜃34	𝜃34	VERB
cana-3837	193	4	𝜎34	𝜎34	PROPN
cana-3837	193	5	𝜋34	𝜋34	PROPN
cana-3837	193	6	]	]	PUNCT
cana-3837	193	7	)	)	PUNCT
cana-3837	193	8	×2	×2	PROPN
cana-3837	193	9	(	(	PUNCT
cana-3837	193	10	[	[	X
cana-3837	193	11	11	11	X
cana-3837	193	12	𝜌11	𝜌11	ADJ
cana-3837	193	13			NOUN
cana-3837	193	14	11	11	NUM
cana-3837	193	15			NOUN
cana-3837	193	16	11	11	NUM
cana-3837	193	17	]	]	PUNCT
cana-3837	194	1	[	[	X
cana-3837	194	2	12	12	X
cana-3837	194	3	𝜌12	𝜌12	ADJ
cana-3837	194	4			NOUN
cana-3837	194	5	12	12	NUM
cana-3837	194	6			NOUN
cana-3837	194	7	12	12	NUM
cana-3837	194	8	]	]	PUNCT
cana-3837	195	1	[	[	X
cana-3837	195	2	13	13	VERB
cana-3837	195	3	𝜌13	𝜌13	ADJ
cana-3837	195	4			NOUN
cana-3837	195	5	13	13	NUM
cana-3837	195	6			NOUN
cana-3837	195	7	13	13	NUM
cana-3837	195	8	]	]	PUNCT
cana-3837	196	1	[	[	X
cana-3837	196	2	21	21	NOUN
cana-3837	196	3	𝜌21	𝜌21	NOUN
cana-3837	196	4			NOUN
cana-3837	196	5	21	21	NUM
cana-3837	196	6			NOUN
cana-3837	196	7	21	21	NUM
cana-3837	196	8	]	]	PUNCT
cana-3837	197	1	[	[	X
cana-3837	197	2	22	22	NOUN
cana-3837	197	3	𝜌22	𝜌22	NOUN
cana-3837	197	4			NOUN
cana-3837	197	5	22	22	NUM
cana-3837	197	6			NOUN
cana-3837	197	7	22	22	NUM
cana-3837	197	8	]	]	PUNCT
cana-3837	198	1	[	[	X
cana-3837	198	2	23	23	X
cana-3837	198	3	𝜌23	𝜌23	VERB
cana-3837	198	4			NOUN
cana-3837	198	5	23	23	NUM
cana-3837	198	6			NOUN
cana-3837	198	7	23	23	NUM
cana-3837	198	8	]	]	PUNCT
cana-3837	199	1	[	[	X
cana-3837	199	2	31	31	PRON
cana-3837	199	3	𝜌31	𝜌31	ADJ
cana-3837	199	4			NOUN
cana-3837	199	5	31	31	NUM
cana-3837	199	6			NOUN
cana-3837	199	7	31	31	NUM
cana-3837	199	8	]	]	PUNCT
cana-3837	200	1	[	[	X
cana-3837	200	2	32	32	X
cana-3837	200	3	𝜌32	𝜌32	NOUN
cana-3837	200	4			NOUN
cana-3837	200	5	32	32	NUM
cana-3837	200	6			NOUN
cana-3837	200	7	32	32	NUM
cana-3837	200	8	]	]	PUNCT
cana-3837	201	1	[	[	X
cana-3837	201	2	33	33	DET
cana-3837	201	3	𝜌33	𝜌33	NOUN
cana-3837	201	4			NOUN
cana-3837	201	5	33	33	NUM
cana-3837	201	6			NOUN
cana-3837	201	7	33	33	NUM
cana-3837	201	8	]	]	PUNCT
cana-3837	202	1	[	[	X
cana-3837	202	2	41	41	NUM
cana-3837	202	3	𝜌41	𝜌41	ADJ
cana-3837	202	4			NOUN
cana-3837	202	5	41	41	NUM
cana-3837	202	6			NOUN
cana-3837	202	7	41	41	NUM
cana-3837	202	8	]	]	PUNCT
cana-3837	203	1	[	[	X
cana-3837	203	2	42	42	NOUN
cana-3837	203	3	𝜌42	𝜌42	NUM
cana-3837	203	4			NOUN
cana-3837	203	5	42	42	NUM
cana-3837	203	6			NOUN
cana-3837	203	7	42	42	NUM
cana-3837	203	8	]	]	PUNCT
cana-3837	204	1	[	[	X
cana-3837	204	2	43	43	NOUN
cana-3837	204	3	𝜌43	𝜌43	NOUN
cana-3837	204	4			NOUN
cana-3837	204	5	43	43	NUM
cana-3837	204	6			NOUN
cana-3837	204	7	43	43	NUM
cana-3837	204	8	]	]	PUNCT
cana-3837	204	9	)	)	PUNCT
cana-3837	204	10	𝜏11	𝜏11	NOUN
cana-3837	204	11	=	=	PUNCT
cana-3837	205	1	[	[	X
cana-3837	205	2	min	min	X
cana-3837	205	3	(	(	PUNCT
cana-3837	205	4	α	α	NOUN
cana-3837	205	5	,	,	PUNCT
cana-3837	205	6	𝜖11	𝜖11	NOUN
cana-3837	205	7	+	+	CCONJ
cana-3837	205	8			PROPN
cana-3837	205	9	11	11	NUM
cana-3837	205	10	−	−	PROPN
cana-3837	205	11	𝜖11	𝜖11	NOUN
cana-3837	205	12	∙	∙	PROPN
cana-3837	205	13	11	11	X
cana-3837	205	14	)	)	PUNCT
cana-3837	205	15	,	,	PUNCT
cana-3837	205	16	min	min	PROPN
cana-3837	205	17	(	(	PUNCT
cana-3837	205	18	α	α	NOUN
cana-3837	205	19	,	,	PUNCT
cana-3837	205	20	𝜃11	𝜃11	NOUN
cana-3837	205	21	+	+	CCONJ
cana-3837	205	22	𝜌11	𝜌11	ADJ
cana-3837	205	23	−	−	PROPN
cana-3837	205	24	𝜃11	𝜃11	NOUN
cana-3837	205	25	∙	∙	PROPN
cana-3837	205	26	𝜌11	𝜌11	NOUN
cana-3837	205	27	)	)	PUNCT
cana-3837	205	28	]	]	PUNCT
cana-3837	205	29	,	,	PUNCT
cana-3837	205	30	[	[	X
cana-3837	205	31	max	max	X
cana-3837	205	32	(	(	PUNCT
cana-3837	205	33	β	β	X
cana-3837	205	34	,	,	PUNCT
cana-3837	205	35	𝜎11	𝜎11	VERB
cana-3837	205	36	∙	∙	PROPN
cana-3837	205	37	11	11	PROPN
cana-3837	205	38	)	)	PUNCT
cana-3837	205	39	,	,	PUNCT
cana-3837	205	40	max	max	PROPN
cana-3837	205	41	(	(	PUNCT
cana-3837	205	42	β	β	X
cana-3837	205	43	,	,	PUNCT
cana-3837	205	44	𝜋11	𝜋11	NOUN
cana-3837	205	45	∙	∙	PROPN
cana-3837	205	46	11	11	PROPN
cana-3837	205	47	)	)	PUNCT
cana-3837	205	48	]	]	PUNCT
cana-3837	206	1	+	+	PUNCT
cana-3837	206	2	[	[	X
cana-3837	206	3	min	min	X
cana-3837	206	4	(	(	PUNCT
cana-3837	206	5	α	α	NOUN
cana-3837	206	6	,	,	PUNCT
cana-3837	206	7	𝜖12	𝜖12	NOUN
cana-3837	206	8	+	+	CCONJ
cana-3837	206	9			NOUN
cana-3837	206	10	21	21	NUM
cana-3837	206	11	−	−	NOUN
cana-3837	206	12	𝜖12	𝜖12	NOUN
cana-3837	206	13	∙	∙	PROPN
cana-3837	206	14	21	21	NUM
cana-3837	206	15	)	)	PUNCT
cana-3837	206	16	,	,	PUNCT
cana-3837	206	17	min	min	PROPN
cana-3837	206	18	(	(	PUNCT
cana-3837	206	19	α	α	PROPN
cana-3837	206	20	,	,	PUNCT
cana-3837	206	21	𝜃12	𝜃12	ADJ
cana-3837	206	22	+	+	NUM
cana-3837	206	23	𝜌21	𝜌21	NOUN
cana-3837	206	24	−	−	NUM
cana-3837	206	25	𝜃12	𝜃12	ADJ
cana-3837	206	26	∙	∙	PROPN
cana-3837	206	27	𝜌21	𝜌21	PROPN
cana-3837	206	28	)	)	PUNCT
cana-3837	206	29	]	]	PUNCT
cana-3837	206	30	,	,	PUNCT
cana-3837	206	31	[	[	X
cana-3837	206	32	max	max	X
cana-3837	206	33	(	(	PUNCT
cana-3837	206	34	β	β	X
cana-3837	206	35	,	,	PUNCT
cana-3837	206	36	𝜎12	𝜎12	ADJ
cana-3837	206	37	∙	∙	PROPN
cana-3837	206	38			NOUN
cana-3837	206	39	21	21	NUM
cana-3837	206	40	)	)	PUNCT
cana-3837	206	41	,	,	PUNCT
cana-3837	206	42	max	max	PROPN
cana-3837	206	43	(	(	PUNCT
cana-3837	206	44	β	β	X
cana-3837	206	45	,	,	PUNCT
cana-3837	206	46	𝜋12	𝜋12	NOUN
cana-3837	206	47	∙	∙	PROPN
cana-3837	206	48	21	21	PROPN
cana-3837	206	49	)	)	PUNCT
cana-3837	206	50	]	]	PUNCT
cana-3837	207	1	+	+	PUNCT
cana-3837	207	2	[	[	X
cana-3837	207	3	min	min	X
cana-3837	207	4	(	(	PUNCT
cana-3837	207	5	α	α	NOUN
cana-3837	207	6	,	,	PUNCT
cana-3837	207	7	𝜖13	𝜖13	NOUN
cana-3837	207	8	+	+	CCONJ
cana-3837	207	9			NOUN
cana-3837	207	10	31	31	NUM
cana-3837	207	11	−	−	NOUN
cana-3837	207	12	𝜖13	𝜖13	NOUN
cana-3837	207	13	∙	∙	PROPN
cana-3837	207	14	31	31	NUM
cana-3837	207	15	)	)	PUNCT
cana-3837	207	16	,	,	PUNCT
cana-3837	207	17	min	min	PROPN
cana-3837	207	18	(	(	PUNCT
cana-3837	207	19	α	α	NOUN
cana-3837	207	20	,	,	PUNCT
cana-3837	207	21	𝜃13	𝜃13	X
cana-3837	207	22	+	+	CCONJ
cana-3837	207	23	𝜌31	𝜌31	PROPN
cana-3837	207	24	−	−	PROPN
cana-3837	207	25	𝜃13	𝜃13	PROPN
cana-3837	207	26	∙	∙	PROPN
cana-3837	207	27	𝜌31	𝜌31	NOUN
cana-3837	207	28	)	)	PUNCT
cana-3837	207	29	]	]	PUNCT
cana-3837	207	30	,	,	PUNCT
cana-3837	207	31	[	[	X
cana-3837	207	32	max	max	X
cana-3837	207	33	(	(	PUNCT
cana-3837	207	34	β	β	X
cana-3837	207	35	,	,	PUNCT
cana-3837	207	36	𝜎13	𝜎13	VERB
cana-3837	207	37	∙	∙	PROPN
cana-3837	207	38	31	31	PROPN
cana-3837	207	39	)	)	PUNCT
cana-3837	207	40	,	,	PUNCT
cana-3837	207	41	max	max	PROPN
cana-3837	207	42	(	(	PUNCT
cana-3837	207	43	β	β	X
cana-3837	207	44	,	,	PUNCT
cana-3837	207	45	𝜋13	𝜋13	PROPN
cana-3837	207	46	∙	∙	PROPN
cana-3837	207	47	31	31	PROPN
cana-3837	207	48	)	)	PUNCT
cana-3837	207	49	]	]	PUNCT
cana-3837	208	1	+	+	PUNCT
cana-3837	208	2	[	[	X
cana-3837	208	3	min	min	X
cana-3837	208	4	(	(	PUNCT
cana-3837	208	5	α	α	NOUN
cana-3837	208	6	,	,	PUNCT
cana-3837	208	7	𝜖14	𝜖14	NOUN
cana-3837	208	8	+	+	CCONJ
cana-3837	208	9			NOUN
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cana-3837	208	11	−	−	NOUN
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cana-3837	208	13	∙	∙	PROPN
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cana-3837	208	15	)	)	PUNCT
cana-3837	208	16	,	,	PUNCT
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cana-3837	208	18	(	(	PUNCT
cana-3837	208	19	α	α	NOUN
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cana-3837	208	22	+	+	CCONJ
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cana-3837	208	24	−	−	PROPN
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cana-3837	208	28	)	)	PUNCT
cana-3837	208	29	]	]	PUNCT
cana-3837	208	30	,	,	PUNCT
cana-3837	208	31	[	[	X
cana-3837	208	32	max	max	X
cana-3837	208	33	(	(	PUNCT
cana-3837	208	34	β	β	X
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cana-3837	208	37	∙	∙	PROPN
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cana-3837	208	39	)	)	PUNCT
cana-3837	208	40	,	,	PUNCT
cana-3837	208	41	max	max	PROPN
cana-3837	208	42	(	(	PUNCT
cana-3837	208	43	β	β	X
cana-3837	208	44	,	,	PUNCT
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cana-3837	208	46	∙	∙	PROPN
cana-3837	208	47	41	41	PROPN
cana-3837	208	48	)	)	PUNCT
cana-3837	208	49	]	]	PUNCT
cana-3837	208	50	.	.	PUNCT
cana-3837	209	1	similarly	similarly	ADV
cana-3837	209	2	,	,	PUNCT
cana-3837	209	3	we	we	PRON
cana-3837	209	4	can	can	AUX
cana-3837	209	5	expand	expand	VERB
cana-3837	209	6	the	the	DET
cana-3837	209	7	expression	expression	NOUN
cana-3837	209	8	of	of	ADP
cana-3837	209	9	𝜏12,𝜏13,𝜏21,𝜏22,𝜏23,𝜏31,𝜏32,𝜏33	𝜏12,𝜏13,𝜏21,𝜏22,𝜏23,𝜏31,𝜏32,𝜏33	PROPN
cana-3837	209	10	.	.	PUNCT
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cana-3837	209	12	=	=	SYM
cana-3837	209	13	max	max	PROPN
cana-3837	209	14	(	(	PUNCT
cana-3837	209	15	[	[	X
cana-3837	209	16	min	min	X
cana-3837	209	17	(	(	PUNCT
cana-3837	209	18	α	α	NOUN
cana-3837	209	19	,	,	PUNCT
cana-3837	209	20	𝜖11	𝜖11	NOUN
cana-3837	209	21	+	+	CCONJ
cana-3837	209	22			PROPN
cana-3837	209	23	11	11	NUM
cana-3837	209	24	−	−	PROPN
cana-3837	209	25	𝜖11	𝜖11	NOUN
cana-3837	209	26	∙	∙	PROPN
cana-3837	209	27	11	11	X
cana-3837	209	28	)	)	PUNCT
cana-3837	209	29	,	,	PUNCT
cana-3837	209	30	min	min	PROPN
cana-3837	209	31	(	(	PUNCT
cana-3837	209	32	α	α	NOUN
cana-3837	209	33	,	,	PUNCT
cana-3837	209	34	𝜃11	𝜃11	NOUN
cana-3837	209	35	+	+	CCONJ
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cana-3837	209	37	−	−	PROPN
cana-3837	209	38	𝜃11	𝜃11	NOUN
cana-3837	209	39	∙	∙	PROPN
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cana-3837	209	41	)	)	PUNCT
cana-3837	209	42	]	]	PUNCT
cana-3837	209	43	,	,	PUNCT
cana-3837	209	44	[	[	X
cana-3837	209	45	max	max	X
cana-3837	209	46	(	(	PUNCT
cana-3837	209	47	β	β	X
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cana-3837	209	50	∙	∙	PROPN
cana-3837	209	51	11	11	PROPN
cana-3837	209	52	)	)	PUNCT
cana-3837	209	53	,	,	PUNCT
cana-3837	209	54	max	max	PROPN
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cana-3837	209	56	β	β	X
cana-3837	209	57	,	,	PUNCT
cana-3837	209	58	𝜋11	𝜋11	PROPN
cana-3837	209	59	∙	∙	PROPN
cana-3837	209	60	11)],[min	11)],[min	X
cana-3837	210	1	(	(	PUNCT
cana-3837	210	2	α	α	NOUN
cana-3837	210	3	,	,	PUNCT
cana-3837	210	4	𝜖12	𝜖12	NOUN
cana-3837	210	5	+	+	CCONJ
cana-3837	210	6			NOUN
cana-3837	210	7	21	21	NUM
cana-3837	210	8	−	−	NOUN
cana-3837	210	9	𝜖12	𝜖12	NOUN
cana-3837	210	10	∙	∙	PROPN
cana-3837	210	11	21	21	NUM
cana-3837	210	12	)	)	PUNCT
cana-3837	210	13	,	,	PUNCT
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cana-3837	210	15	(	(	PUNCT
cana-3837	210	16	α	α	PROPN
cana-3837	210	17	,	,	PUNCT
cana-3837	210	18	𝜃12	𝜃12	ADJ
cana-3837	210	19	+	+	NUM
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cana-3837	210	21	−	−	NUM
cana-3837	210	22	𝜃12	𝜃12	ADJ
cana-3837	210	23	∙	∙	PROPN
cana-3837	210	24	𝜌21	𝜌21	PROPN
cana-3837	210	25	)	)	PUNCT
cana-3837	210	26	]	]	PUNCT
cana-3837	210	27	,	,	PUNCT
cana-3837	210	28	[	[	X
cana-3837	210	29	max	max	X
cana-3837	210	30	(	(	PUNCT
cana-3837	210	31	β	β	X
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cana-3837	210	34	∙	∙	PROPN
cana-3837	210	35	21	21	PROPN
cana-3837	210	36	)	)	PUNCT
cana-3837	210	37	,	,	PUNCT
cana-3837	210	38	max	max	PROPN
cana-3837	210	39	(	(	PUNCT
cana-3837	210	40	β	β	X
cana-3837	210	41	,	,	PUNCT
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cana-3837	210	43	∙	∙	PROPN
cana-3837	210	44	21	21	PROPN
cana-3837	210	45	)	)	PUNCT
cana-3837	210	46	]	]	PUNCT
cana-3837	210	47	)	)	PUNCT
cana-3837	211	1	+	+	PUNCT
cana-3837	211	2	[	[	X
cana-3837	211	3	min	min	X
cana-3837	211	4	(	(	PUNCT
cana-3837	211	5	α	α	NOUN
cana-3837	211	6	,	,	PUNCT
cana-3837	211	7	𝜖13	𝜖13	NOUN
cana-3837	211	8	+	+	CCONJ
cana-3837	211	9			NOUN
cana-3837	211	10	31	31	NUM
cana-3837	211	11	−	−	NOUN
cana-3837	211	12	𝜖13	𝜖13	NOUN
cana-3837	211	13	∙	∙	PROPN
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cana-3837	211	15	)	)	PUNCT
cana-3837	211	16	,	,	PUNCT
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cana-3837	211	18	(	(	PUNCT
cana-3837	211	19	α	α	NOUN
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cana-3837	211	21	𝜃13	𝜃13	X
cana-3837	211	22	+	+	CCONJ
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cana-3837	211	24	−	−	PROPN
cana-3837	211	25	𝜃13	𝜃13	PROPN
cana-3837	211	26	∙	∙	PROPN
cana-3837	211	27	𝜌31	𝜌31	NOUN
cana-3837	211	28	)	)	PUNCT
cana-3837	211	29	]	]	PUNCT
cana-3837	211	30	,	,	PUNCT
cana-3837	211	31	[	[	X
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cana-3837	211	33	(	(	PUNCT
cana-3837	211	34	β	β	X
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cana-3837	211	37	∙	∙	PROPN
cana-3837	211	38			NOUN
cana-3837	211	39	31	31	NUM
cana-3837	211	40	)	)	PUNCT
cana-3837	211	41	,	,	PUNCT
cana-3837	211	42	max	max	PROPN
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cana-3837	211	44	β	β	X
cana-3837	211	45	,	,	PUNCT
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cana-3837	211	47	∙	∙	PROPN
cana-3837	211	48	31	31	PROPN
cana-3837	211	49	)	)	PUNCT
cana-3837	211	50	]	]	PUNCT
cana-3837	212	1	+	+	PUNCT
cana-3837	212	2	[	[	X
cana-3837	212	3	min	min	X
cana-3837	212	4	(	(	PUNCT
cana-3837	212	5	α	α	NOUN
cana-3837	212	6	,	,	PUNCT
cana-3837	212	7	𝜖14	𝜖14	NOUN
cana-3837	212	8	+	+	CCONJ
cana-3837	212	9			NOUN
cana-3837	212	10	41	41	NUM
cana-3837	212	11	−	−	NOUN
cana-3837	212	12	𝜖14	𝜖14	NOUN
cana-3837	212	13	∙	∙	PROPN
cana-3837	212	14	41	41	NUM
cana-3837	212	15	)	)	PUNCT
cana-3837	212	16	,	,	PUNCT
cana-3837	212	17	min	min	PROPN
cana-3837	212	18	(	(	PUNCT
cana-3837	212	19	α	α	NOUN
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cana-3837	212	22	+	+	CCONJ
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cana-3837	212	24	−	−	PROPN
cana-3837	212	25	𝜃14	𝜃14	VERB
cana-3837	212	26	∙	∙	PROPN
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cana-3837	212	28	)	)	PUNCT
cana-3837	212	29	]	]	PUNCT
cana-3837	212	30	,	,	PUNCT
cana-3837	212	31	[	[	X
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cana-3837	212	33	(	(	PUNCT
cana-3837	212	34	β	β	X
cana-3837	212	35	,	,	PUNCT
cana-3837	212	36	communications	communication	NOUN
cana-3837	212	37	on	on	ADP
cana-3837	212	38	applied	apply	VERB
cana-3837	212	39	nonlinear	nonlinear	ADJ
cana-3837	212	40	analysis	analysis	NOUN
cana-3837	212	41	issn	issn	NOUN
cana-3837	212	42	:	:	PUNCT
cana-3837	212	43	1074	1074	NUM
cana-3837	212	44	-	-	PUNCT
cana-3837	212	45	133x	133x	NUM
cana-3837	212	46	vol	vol	NOUN
cana-3837	212	47	32	32	NUM
cana-3837	213	1	no	no	NOUN
cana-3837	213	2	.	.	PUNCT
cana-3837	214	1	9s	9s	NUM
cana-3837	214	2	(	(	PUNCT
cana-3837	214	3	2025	2025	NUM
cana-3837	214	4	)	)	PUNCT
cana-3837	214	5	55	55	NUM
cana-3837	215	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3837	215	2	𝜎14	𝜎14	NOUN
cana-3837	215	3	∙	∙	PROPN
cana-3837	215	4	41	41	PROPN
cana-3837	215	5	)	)	PUNCT
cana-3837	215	6	,	,	PUNCT
cana-3837	215	7	max	max	PROPN
cana-3837	215	8	(	(	PUNCT
cana-3837	215	9	β	β	X
cana-3837	215	10	,	,	PUNCT
cana-3837	215	11	𝜋14	𝜋14	NOUN
cana-3837	215	12	∙	∙	PROPN
cana-3837	215	13	41	41	PROPN
cana-3837	215	14	)	)	PUNCT
cana-3837	215	15	]	]	PUNCT
cana-3837	215	16	.	.	PUNCT
cana-3837	216	1	similarly	similarly	ADV
cana-3837	216	2	,	,	PUNCT
cana-3837	216	3	we	we	PRON
cana-3837	216	4	can	can	AUX
cana-3837	216	5	expand	expand	VERB
cana-3837	216	6	the	the	DET
cana-3837	216	7	expression	expression	NOUN
cana-3837	216	8	of	of	ADP
cana-3837	216	9	𝜏12,𝜏13,𝜏21,𝜏22,𝜏23,𝜏31,𝜏32,𝜏33	𝜏12,𝜏13,𝜏21,𝜏22,𝜏23,𝜏31,𝜏32,𝜏33	PROPN
cana-3837	216	10	.	.	PUNCT
cana-3837	216	11	𝜏11	𝜏11	NOUN
cana-3837	216	12	=	=	SYM
cana-3837	216	13	max	max	PROPN
cana-3837	216	14	(	(	PUNCT
cana-3837	216	15	max	max	PROPN
cana-3837	216	16	(	(	PUNCT
cana-3837	216	17	[	[	X
cana-3837	216	18	min	min	X
cana-3837	216	19	(	(	PUNCT
cana-3837	216	20	α	α	NOUN
cana-3837	216	21	,	,	PUNCT
cana-3837	216	22	𝜖11	𝜖11	NOUN
cana-3837	216	23	+	+	CCONJ
cana-3837	216	24			PROPN
cana-3837	216	25	11	11	NUM
cana-3837	216	26	−	−	PROPN
cana-3837	216	27	𝜖11	𝜖11	NOUN
cana-3837	216	28	∙	∙	PROPN
cana-3837	216	29	11	11	X
cana-3837	216	30	)	)	PUNCT
cana-3837	216	31	,	,	PUNCT
cana-3837	216	32	min	min	PROPN
cana-3837	216	33	(	(	PUNCT
cana-3837	216	34	α	α	NOUN
cana-3837	216	35	,	,	PUNCT
cana-3837	216	36	𝜃11	𝜃11	NOUN
cana-3837	216	37	+	+	CCONJ
cana-3837	216	38	𝜌11	𝜌11	ADJ
cana-3837	216	39	−	−	PROPN
cana-3837	216	40	𝜃11	𝜃11	NOUN
cana-3837	216	41	∙	∙	PROPN
cana-3837	216	42	𝜌11	𝜌11	NOUN
cana-3837	216	43	)	)	PUNCT
cana-3837	216	44	]	]	PUNCT
cana-3837	216	45	,	,	PUNCT
cana-3837	216	46	[	[	X
cana-3837	216	47	max	max	X
cana-3837	216	48	(	(	PUNCT
cana-3837	216	49	β	β	X
cana-3837	216	50	,	,	PUNCT
cana-3837	216	51	𝜎11	𝜎11	VERB
cana-3837	216	52	∙	∙	PROPN
cana-3837	216	53	11	11	PROPN
cana-3837	216	54	)	)	PUNCT
cana-3837	216	55	,	,	PUNCT
cana-3837	216	56	max	max	PROPN
cana-3837	216	57	(	(	PUNCT
cana-3837	216	58	β	β	X
cana-3837	216	59	,	,	PUNCT
cana-3837	216	60	𝜋11	𝜋11	PROPN
cana-3837	216	61	∙	∙	PROPN
cana-3837	216	62	11)],[min	11)],[min	X
cana-3837	217	1	(	(	PUNCT
cana-3837	217	2	α	α	NOUN
cana-3837	217	3	,	,	PUNCT
cana-3837	217	4	𝜖12	𝜖12	NOUN
cana-3837	217	5	+	+	CCONJ
cana-3837	217	6			NOUN
cana-3837	217	7	21	21	NUM
cana-3837	217	8	−	−	NOUN
cana-3837	217	9	𝜖12	𝜖12	NOUN
cana-3837	217	10	∙	∙	PROPN
cana-3837	217	11	21	21	NUM
cana-3837	217	12	)	)	PUNCT
cana-3837	217	13	,	,	PUNCT
cana-3837	217	14	min	min	PROPN
cana-3837	217	15	(	(	PUNCT
cana-3837	217	16	α	α	PROPN
cana-3837	217	17	,	,	PUNCT
cana-3837	217	18	𝜃12	𝜃12	ADJ
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cana-3837	219	1	+	+	PUNCT
cana-3837	219	2	[	[	X
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cana-3837	219	4	(	(	PUNCT
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cana-3837	219	9			NOUN
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cana-3837	219	15	)	)	PUNCT
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cana-3837	219	18	(	(	PUNCT
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cana-3837	219	30	,	,	PUNCT
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cana-3837	220	3	(	(	PUNCT
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cana-3837	220	7	∙	∙	PROPN
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cana-3837	220	13	β	β	X
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cana-3837	220	20	.	.	PUNCT
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cana-3837	221	10	.	.	PUNCT
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cana-3837	221	19	[	[	X
cana-3837	221	20	min	min	X
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cana-3837	221	26			PROPN
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cana-3837	221	30	∙	∙	PROPN
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cana-3837	221	61	β	β	X
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cana-3837	222	30	,	,	PUNCT
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cana-3837	222	44	,	,	PUNCT
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cana-3837	222	54	,	,	PUNCT
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cana-3837	222	57	β	β	X
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cana-3837	222	64	)	)	PUNCT
cana-3837	222	65	.	.	PUNCT
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cana-3837	223	10	.	.	PROPN
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cana-3837	224	1	[	[	X
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cana-3837	224	7	+	+	CCONJ
cana-3837	224	8			PROPN
cana-3837	224	9	11	11	NUM
cana-3837	224	10	−	−	PROPN
cana-3837	224	11	𝜖11	𝜖11	NOUN
cana-3837	224	12	∙	∙	PROPN
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cana-3837	224	14	)	)	PUNCT
cana-3837	224	15	,	,	PUNCT
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cana-3837	224	29	,	,	PUNCT
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cana-3837	224	31	min	min	X
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cana-3837	224	39	,	,	PUNCT
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cana-3837	224	42	β	β	X
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cana-3837	224	47	)	)	PUNCT
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cana-3837	225	1	+	+	PROPN
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cana-3837	225	3	max	max	X
cana-3837	225	4	(	(	PUNCT
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cana-3837	226	15	)	)	PUNCT
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cana-3837	226	30	,	,	PUNCT
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cana-3837	227	1	+	+	PUNCT
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cana-3837	227	15	)	)	PUNCT
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cana-3837	227	26	∙	∙	PROPN
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cana-3837	227	28	)	)	PUNCT
cana-3837	227	29	]	]	PUNCT
cana-3837	227	30	,	,	PUNCT
cana-3837	227	31	[	[	X
cana-3837	227	32	min	min	X
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cana-3837	227	37	∙	∙	PROPN
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cana-3837	227	51	.	.	PUNCT
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cana-3837	228	6	the	the	DET
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cana-3837	228	9	𝜔12,𝜔13,𝜔21,𝜔22,𝜔23,𝜔31,𝜔32,𝜔33	𝜔12,𝜔13,𝜔21,𝜔22,𝜔23,𝜔31,𝜔32,𝜔33	PROPN
cana-3837	228	10	.	.	PROPN
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cana-3837	230	10	+	+	CCONJ
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cana-3837	230	32	,	,	PUNCT
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cana-3837	230	72	∙	∙	PROPN
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cana-3837	230	76	,	,	PUNCT
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cana-3837	231	1	+	+	PUNCT
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cana-3837	232	1	+	+	PUNCT
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cana-3837	232	8	+	+	CCONJ
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cana-3837	232	15	)	)	PUNCT
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cana-3837	232	22	+	+	CCONJ
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cana-3837	232	28	)	)	PUNCT
cana-3837	232	29	]	]	PUNCT
cana-3837	232	30	,	,	PUNCT
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cana-3837	232	32	min	min	X
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cana-3837	232	34	β	β	X
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cana-3837	232	37	∙	∙	PROPN
cana-3837	232	38	41	41	PROPN
cana-3837	232	39	)	)	PUNCT
cana-3837	232	40	,	,	PUNCT
cana-3837	232	41	min	min	PROPN
cana-3837	232	42	(	(	PUNCT
cana-3837	232	43	β	β	X
cana-3837	232	44	,	,	PUNCT
cana-3837	232	45	𝜋14	𝜋14	NOUN
cana-3837	232	46	∙	∙	PROPN
cana-3837	232	47	41	41	PROPN
cana-3837	232	48	)	)	PUNCT
cana-3837	232	49	]	]	PUNCT
cana-3837	232	50	.	.	PUNCT
cana-3837	233	1	similarly	similarly	ADV
cana-3837	233	2	,	,	PUNCT
cana-3837	233	3	we	we	PRON
cana-3837	233	4	can	can	AUX
cana-3837	233	5	expand	expand	VERB
cana-3837	233	6	the	the	DET
cana-3837	233	7	expression	expression	NOUN
cana-3837	233	8	of	of	ADP
cana-3837	233	9	𝜔12,𝜔13,𝜔21,𝜔22,𝜔23,𝜔31,𝜔32,𝜔33	𝜔12,𝜔13,𝜔21,𝜔22,𝜔23,𝜔31,𝜔32,𝜔33	PROPN
cana-3837	233	10	.	.	PROPN
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cana-3837	235	5	(	(	PUNCT
cana-3837	235	6	[	[	X
cana-3837	235	7	max	max	X
cana-3837	235	8	(	(	PUNCT
cana-3837	235	9	α	α	PROPN
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cana-3837	235	12	+	+	CCONJ
cana-3837	235	13			PROPN
cana-3837	235	14	11	11	NUM
cana-3837	235	15	−	−	PROPN
cana-3837	235	16	𝜖11	𝜖11	NOUN
cana-3837	235	17	∙	∙	PROPN
cana-3837	235	18	11	11	X
cana-3837	235	19	)	)	PUNCT
cana-3837	235	20	,	,	PUNCT
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cana-3837	235	22	(	(	PUNCT
cana-3837	235	23	α	α	NOUN
cana-3837	235	24	,	,	PUNCT
cana-3837	235	25	𝜃11	𝜃11	NOUN
cana-3837	235	26	+	+	CCONJ
cana-3837	235	27	𝜌11	𝜌11	ADJ
cana-3837	235	28	−	−	PROPN
cana-3837	235	29	𝜃11	𝜃11	NOUN
cana-3837	235	30	∙	∙	PROPN
cana-3837	235	31	𝜌11	𝜌11	NOUN
cana-3837	235	32	)	)	PUNCT
cana-3837	235	33	]	]	PUNCT
cana-3837	235	34	,	,	PUNCT
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cana-3837	235	50	∙	∙	PROPN
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cana-3837	235	56	+	+	CCONJ
cana-3837	235	57			NOUN
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cana-3837	235	61	∙	∙	PROPN
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cana-3837	235	63	)	)	PUNCT
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cana-3837	235	74	∙	∙	PROPN
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cana-3837	235	79	[	[	X
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cana-3837	235	85	∙	∙	PROPN
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cana-3837	235	88	)	)	PUNCT
cana-3837	235	89	,	,	PUNCT
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cana-3837	235	92	β	β	NOUN
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cana-3837	235	95	∙	∙	PROPN
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cana-3837	235	102			NOUN
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cana-3837	235	106	∙	∙	PROPN
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cana-3837	235	108	)	)	PUNCT
cana-3837	235	109	,	,	PUNCT
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cana-3837	235	111	(	(	PUNCT
cana-3837	235	112	α	α	PROPN
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cana-3837	235	117	−	−	PROPN
cana-3837	235	118	𝜃13	𝜃13	PROPN
cana-3837	235	119	∙	∙	PROPN
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cana-3837	235	121	)	)	PUNCT
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cana-3837	235	123	,	,	PUNCT
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cana-3837	235	125	min	min	X
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cana-3837	235	130	∙	∙	PROPN
cana-3837	235	131	31	31	PROPN
cana-3837	235	132	)	)	PUNCT
cana-3837	235	133	,	,	PUNCT
cana-3837	235	134	min	min	PROPN
cana-3837	235	135	(	(	PUNCT
cana-3837	235	136	β	β	X
cana-3837	235	137	,	,	PUNCT
cana-3837	235	138	𝜋13	𝜋13	PROPN
cana-3837	235	139	∙	∙	PROPN
cana-3837	235	140	31	31	PROPN
cana-3837	235	141	)	)	PUNCT
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cana-3837	235	143	)	)	PUNCT
cana-3837	236	1	+	+	PUNCT
cana-3837	236	2	[	[	X
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cana-3837	236	4	(	(	PUNCT
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cana-3837	236	9			NOUN
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cana-3837	236	12	𝜖14	𝜖14	NOUN
cana-3837	236	13	∙	∙	PROPN
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cana-3837	236	15	)	)	PUNCT
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cana-3837	236	18	(	(	PUNCT
cana-3837	236	19	α	α	NOUN
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cana-3837	236	22	+	+	CCONJ
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cana-3837	236	24	−	−	PROPN
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cana-3837	236	26	∙	∙	PROPN
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cana-3837	236	28	)	)	PUNCT
cana-3837	236	29	]	]	PUNCT
cana-3837	236	30	,	,	PUNCT
cana-3837	236	31	[	[	X
cana-3837	236	32	min	min	X
cana-3837	236	33	(	(	PUNCT
cana-3837	236	34	β	β	X
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cana-3837	236	37	∙	∙	PROPN
cana-3837	236	38	41	41	PROPN
cana-3837	236	39	)	)	PUNCT
cana-3837	236	40	,	,	PUNCT
cana-3837	236	41	min	min	PROPN
cana-3837	236	42	(	(	PUNCT
cana-3837	236	43	β	β	X
cana-3837	236	44	,	,	PUNCT
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cana-3837	236	46	∙	∙	PROPN
cana-3837	236	47	41	41	PROPN
cana-3837	236	48	)	)	PUNCT
cana-3837	236	49	]	]	PUNCT
cana-3837	236	50	.	.	PUNCT
cana-3837	237	1	similarly	similarly	ADV
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cana-3837	237	6	the	the	DET
cana-3837	237	7	expression	expression	NOUN
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cana-3837	237	9	𝜔12,𝜔13,𝜔21,𝜔22,𝜔23,𝜔31,𝜔32,𝜔33	𝜔12,𝜔13,𝜔21,𝜔22,𝜔23,𝜔31,𝜔32,𝜔33	PROPN
cana-3837	237	10	.	.	PROPN
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cana-3837	239	4	max	max	PROPN
cana-3837	239	5	(	(	PUNCT
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cana-3837	239	7	(	(	PUNCT
cana-3837	239	8	[	[	X
cana-3837	239	9	max	max	X
cana-3837	239	10	(	(	PUNCT
cana-3837	239	11	α	α	PROPN
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cana-3837	239	14	+	+	CCONJ
cana-3837	239	15			PROPN
cana-3837	239	16	11	11	NUM
cana-3837	239	17	−	−	PROPN
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cana-3837	239	19	∙	∙	PROPN
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cana-3837	239	21	)	)	PUNCT
cana-3837	239	22	,	,	PUNCT
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cana-3837	239	24	(	(	PUNCT
cana-3837	239	25	α	α	NOUN
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cana-3837	239	28	+	+	CCONJ
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cana-3837	239	30	−	−	PROPN
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cana-3837	239	34	)	)	PUNCT
cana-3837	239	35	]	]	PUNCT
cana-3837	239	36	,	,	PUNCT
cana-3837	239	37	[	[	X
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cana-3837	239	43	∙	∙	PROPN
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cana-3837	239	45	)	)	PUNCT
cana-3837	239	46	,	,	PUNCT
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cana-3837	239	49	β	β	X
cana-3837	239	50	,	,	PUNCT
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cana-3837	239	52	∙	∙	PROPN
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cana-3837	239	54	(	(	PUNCT
cana-3837	239	55	α	α	X
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cana-3837	239	58	+	+	CCONJ
cana-3837	239	59			NOUN
cana-3837	239	60	21	21	NUM
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cana-3837	239	63	∙	∙	PROPN
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cana-3837	239	65	)	)	PUNCT
cana-3837	239	66	,	,	PUNCT
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cana-3837	239	69	α	α	PROPN
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cana-3837	239	72	+	+	NUM
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cana-3837	239	76	∙	∙	PROPN
cana-3837	239	77	𝜌21	𝜌21	PROPN
cana-3837	239	78	)	)	PUNCT
cana-3837	239	79	]	]	PUNCT
cana-3837	239	80	,	,	PUNCT
cana-3837	239	81	[	[	X
cana-3837	239	82	min	min	X
cana-3837	239	83	(	(	PUNCT
cana-3837	239	84	β	β	X
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cana-3837	239	87	∙	∙	PROPN
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cana-3837	239	89	)	)	PUNCT
cana-3837	239	90	,	,	PUNCT
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cana-3837	239	93	β	β	NOUN
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cana-3837	239	96	∙	∙	PROPN
cana-3837	239	97	21)]),[max	21)]),[max	NOUN
cana-3837	239	98	(	(	PUNCT
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cana-3837	239	103			NOUN
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cana-3837	239	107	∙	∙	PROPN
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cana-3837	239	109	)	)	PUNCT
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cana-3837	239	113	α	α	PROPN
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cana-3837	239	124	,	,	PUNCT
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cana-3837	239	131	∙	∙	PROPN
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cana-3837	239	133	)	)	PUNCT
cana-3837	239	134	,	,	PUNCT
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cana-3837	239	137	β	β	X
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cana-3837	239	140	∙	∙	PROPN
cana-3837	239	141	31)]),[max	31)]),[max	NOUN
cana-3837	239	142	(	(	PUNCT
cana-3837	239	143	α	α	NOUN
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cana-3837	239	146	+	+	CCONJ
cana-3837	239	147			NOUN
cana-3837	239	148	41	41	NUM
cana-3837	239	149	−	−	NOUN
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cana-3837	239	151	∙	∙	PROPN
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cana-3837	239	153	)	)	PUNCT
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cana-3837	239	156	(	(	PUNCT
cana-3837	239	157	α	α	NOUN
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cana-3837	239	160	+	+	CCONJ
cana-3837	239	161	𝜌41	𝜌41	ADJ
cana-3837	239	162	−	−	PROPN
cana-3837	239	163	𝜃14	𝜃14	VERB
cana-3837	239	164	∙	∙	PROPN
cana-3837	239	165	communications	communication	NOUN
cana-3837	239	166	on	on	ADP
cana-3837	239	167	applied	apply	VERB
cana-3837	239	168	nonlinear	nonlinear	ADJ
cana-3837	239	169	analysis	analysis	NOUN
cana-3837	239	170	issn	issn	NOUN
cana-3837	239	171	:	:	PUNCT
cana-3837	239	172	1074	1074	NUM
cana-3837	239	173	-	-	PUNCT
cana-3837	239	174	133x	133x	NUM
cana-3837	239	175	vol	vol	NOUN
cana-3837	239	176	32	32	NUM
cana-3837	239	177	no	no	NOUN
cana-3837	239	178	.	.	PUNCT
cana-3837	240	1	9s	9s	NUM
cana-3837	240	2	(	(	PUNCT
cana-3837	240	3	2025	2025	NUM
cana-3837	240	4	)	)	PUNCT
cana-3837	240	5	56	56	NUM
cana-3837	240	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3837	240	7	𝜌41	𝜌41	NUM
cana-3837	240	8	)	)	PUNCT
cana-3837	240	9	]	]	PUNCT
cana-3837	240	10	,	,	PUNCT
cana-3837	240	11	[	[	X
cana-3837	240	12	min	min	X
cana-3837	240	13	(	(	PUNCT
cana-3837	240	14	β	β	X
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cana-3837	240	17	∙	∙	PROPN
cana-3837	240	18	41	41	PROPN
cana-3837	240	19	)	)	PUNCT
cana-3837	240	20	,	,	PUNCT
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cana-3837	240	22	(	(	PUNCT
cana-3837	240	23	β	β	X
cana-3837	240	24	,	,	PUNCT
cana-3837	240	25	𝜋14	𝜋14	NOUN
cana-3837	240	26	∙	∙	PROPN
cana-3837	240	27	41	41	PROPN
cana-3837	240	28	)	)	PUNCT
cana-3837	240	29	]	]	PUNCT
cana-3837	240	30	)	)	PUNCT
cana-3837	240	31	.	.	PUNCT
cana-3837	241	1	similarly	similarly	ADV
cana-3837	241	2	,	,	PUNCT
cana-3837	241	3	we	we	PRON
cana-3837	241	4	can	can	AUX
cana-3837	241	5	expand	expand	VERB
cana-3837	241	6	the	the	DET
cana-3837	241	7	expression	expression	NOUN
cana-3837	241	8	of	of	ADP
cana-3837	241	9	𝜔12,𝜔13,𝜔21,𝜔22,𝜔23,𝜔31,𝜔32,𝜔33	𝜔12,𝜔13,𝜔21,𝜔22,𝜔23,𝜔31,𝜔32,𝜔33	PROPN
cana-3837	241	10	.	.	PROPN
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cana-3837	241	13	,	,	PUNCT
cana-3837	241	14	β(ạ	β(ạ	NOUN
cana-3837	241	15	×2	×2	PROPN
cana-3837	241	16	ḅ	ḅ	NOUN
cana-3837	241	17	)	)	PUNCT
cana-3837	241	18	and	and	CCONJ
cana-3837	241	19	ωα	ωα	ADP
cana-3837	241	20	,	,	PUNCT
cana-3837	241	21	β(ạ	β(ạ	NOUN
cana-3837	241	22	×2	×2	PROPN
cana-3837	241	23	ḅ	ḅ	NOUN
cana-3837	241	24	)	)	PUNCT
cana-3837	241	25	is	be	AUX
cana-3837	241	26	an	an	DET
cana-3837	241	27	interval	interval	NOUN
cana-3837	241	28	valued	value	VERB
cana-3837	241	29	intuitionistic	intuitionistic	ADJ
cana-3837	241	30	fuzzy	fuzzy	ADJ
cana-3837	241	31	matrices	matrix	NOUN
cana-3837	241	32	.	.	PUNCT
cana-3837	242	1	theorem	theorem	VERB
cana-3837	242	2	4.3	4.3	NUM
cana-3837	242	3	.	.	PUNCT
cana-3837	243	1	if	if	SCONJ
cana-3837	243	2	ạ	ạ	PRON
cana-3837	243	3	×3	×3	NOUN
cana-3837	243	4	ḅ	ḅ	NOUN
cana-3837	243	5	are	be	AUX
cana-3837	243	6	an	an	DET
cana-3837	243	7	interval	interval	NOUN
cana-3837	243	8	valued	value	VERB
cana-3837	243	9	intuitionistic	intuitionistic	ADJ
cana-3837	243	10	fuzzy	fuzzy	ADJ
cana-3837	243	11	matrices	matrix	NOUN
cana-3837	243	12	,	,	PUNCT
cana-3837	243	13	then	then	ADV
cana-3837	243	14	πα	πα	PRON
cana-3837	243	15	,	,	PUNCT
cana-3837	243	16	β(ạ	β(ạ	NOUN
cana-3837	243	17	×3	×3	NOUN
cana-3837	243	18	ḅ	ḅ	NOUN
cana-3837	243	19	)	)	PUNCT
cana-3837	243	20	and	and	CCONJ
cana-3837	243	21	ωα	ωα	ADP
cana-3837	243	22	,	,	PUNCT
cana-3837	243	23	β(ạ	β(ạ	NOUN
cana-3837	243	24	×3	×3	NOUN
cana-3837	243	25	ḅ	ḅ	NOUN
cana-3837	243	26	)	)	PUNCT
cana-3837	243	27	is	be	AUX
cana-3837	243	28	also	also	ADV
cana-3837	243	29	an	an	DET
cana-3837	243	30	interval	interval	NOUN
cana-3837	243	31	valued	value	VERB
cana-3837	243	32	intuitionistic	intuitionistic	ADJ
cana-3837	243	33	fuzzy	fuzzy	ADJ
cana-3837	243	34	matrices	matrix	NOUN
cana-3837	243	35	.	.	PUNCT
cana-3837	244	1	proof	proof	NOUN
cana-3837	244	2	.	.	PUNCT
cana-3837	245	1	let	let	VERB
cana-3837	245	2	us	we	PRON
cana-3837	245	3	consider	consider	VERB
cana-3837	245	4	ạ	ạ	NOUN
cana-3837	245	5	have	have	VERB
cana-3837	245	6	3×4	3×4	NUM
cana-3837	245	7	matrix	matrix	NOUN
cana-3837	245	8	and	and	CCONJ
cana-3837	245	9	ḅ	ḅ	NOUN
cana-3837	245	10	have	have	VERB
cana-3837	245	11	4×3	4×3	NOUN
cana-3837	245	12	matrix	matrix	NOUN
cana-3837	245	13	both	both	PRON
cana-3837	245	14	are	be	AUX
cana-3837	245	15	an	an	DET
cana-3837	245	16	interval	interval	NOUN
cana-3837	245	17	valued	value	VERB
cana-3837	245	18	intuitionistic	intuitionistic	ADJ
cana-3837	245	19	fuzzy	fuzzy	ADJ
cana-3837	245	20	matrices	matrix	NOUN
cana-3837	245	21	.	.	PUNCT
cana-3837	246	1	then	then	ADV
cana-3837	246	2	πα	πα	INTJ
cana-3837	246	3	,	,	PUNCT
cana-3837	246	4	β(ạ	β(ạ	NOUN
cana-3837	246	5	×3	×3	NOUN
cana-3837	246	6	ḅ	ḅ	NOUN
cana-3837	246	7	)	)	PUNCT
cana-3837	246	8	=	=	PUNCT
cana-3837	247	1	[	[	X
cana-3837	247	2	(	(	PUNCT
cana-3837	247	3	min	min	NOUN
cana-3837	247	4	[	[	X
cana-3837	247	5	𝛼	𝛼	X
cana-3837	247	6	,	,	PUNCT
cana-3837	247	7	𝜇𝐴	𝜇𝐴	ADP
cana-3837	247	8	𝐿	𝐿	PROPN
cana-3837	247	9	∙	∙	PROPN
cana-3837	247	10	𝜇𝑩	𝜇𝑩	PROPN
cana-3837	247	11	𝐿	𝐿	PROPN
cana-3837	247	12	]	]	PUNCT
cana-3837	247	13	,	,	PUNCT
cana-3837	247	14	min	min	NOUN
cana-3837	248	1	[	[	X
cana-3837	248	2	𝛼	𝛼	X
cana-3837	248	3	,	,	PUNCT
cana-3837	248	4	𝜇𝐴	𝜇𝐴	ADP
cana-3837	248	5	𝑈.	𝑈.	PROPN
cana-3837	248	6	𝜇𝐵	𝜇𝐵	VERB
cana-3837	248	7	𝑈	𝑈	PROPN
cana-3837	248	8	]	]	PUNCT
cana-3837	248	9	)	)	PUNCT
cana-3837	248	10	]	]	PUNCT
cana-3837	248	11	,	,	PUNCT
cana-3837	248	12	[	[	X
cana-3837	248	13	(	(	PUNCT
cana-3837	248	14	max	max	PROPN
cana-3837	248	15	[	[	X
cana-3837	248	16	β	β	X
cana-3837	248	17	,	,	PUNCT
cana-3837	248	18	𝐴	𝐴	PROPN
cana-3837	248	19	𝐿	𝐿	PROPN
cana-3837	248	20	+	+	CCONJ
cana-3837	248	21	𝐵	𝐵	PROPN
cana-3837	248	22	𝐿	𝐿	PROPN
cana-3837	248	23	−	−	PROPN
cana-3837	248	24	𝐴	𝐴	PROPN
cana-3837	248	25	𝐿	𝐿	PROPN
cana-3837	248	26	.	.	PUNCT
cana-3837	249	1	𝐵	𝐵	PROPN
cana-3837	249	2	𝐿	𝐿	PROPN
cana-3837	249	3	]	]	PUNCT
cana-3837	249	4	,	,	PUNCT
cana-3837	249	5	max	max	PROPN
cana-3837	250	1	[	[	X
cana-3837	250	2	β	β	X
cana-3837	250	3	,	,	PUNCT
cana-3837	250	4	𝐴	𝐴	PROPN
cana-3837	250	5	𝑈	𝑈	PROPN
cana-3837	250	6	+	+	CCONJ
cana-3837	250	7	𝐵	𝐵	PROPN
cana-3837	250	8	𝑈	𝑈	PROPN
cana-3837	250	9	−	−	PROPN
cana-3837	250	10	𝐴	𝐴	PROPN
cana-3837	250	11	𝑈.	𝑈.	PROPN
cana-3837	250	12	𝐵	𝐵	PROPN
cana-3837	250	13	𝑈	𝑈	PROPN
cana-3837	250	14	]	]	PUNCT
cana-3837	250	15	)	)	PUNCT
cana-3837	250	16	]	]	PUNCT
cana-3837	250	17	and	and	CCONJ
cana-3837	250	18	ωα	ωα	ADP
cana-3837	250	19	,	,	PUNCT
cana-3837	250	20	β(ạ	β(ạ	NOUN
cana-3837	250	21	×3	×3	NOUN
cana-3837	250	22	ḅ	ḅ	NOUN
cana-3837	250	23	)	)	PUNCT
cana-3837	250	24	=	=	PUNCT
cana-3837	251	1	[	[	X
cana-3837	251	2	(	(	PUNCT
cana-3837	251	3	max	max	PROPN
cana-3837	251	4	[	[	X
cana-3837	251	5	𝛼	𝛼	X
cana-3837	251	6	,	,	PUNCT
cana-3837	251	7	𝜇𝐴	𝜇𝐴	ADP
cana-3837	251	8	𝐿	𝐿	PROPN
cana-3837	251	9	∙	∙	PROPN
cana-3837	251	10	𝜇𝑩	𝜇𝑩	PROPN
cana-3837	251	11	𝐿	𝐿	PROPN
cana-3837	251	12	]	]	PUNCT
cana-3837	251	13	,	,	PUNCT
cana-3837	251	14	max	max	PROPN
cana-3837	252	1	[	[	X
cana-3837	252	2	𝛼	𝛼	X
cana-3837	252	3	,	,	PUNCT
cana-3837	252	4	𝜇𝐴	𝜇𝐴	ADP
cana-3837	252	5	𝑈.	𝑈.	PROPN
cana-3837	252	6	𝜇𝐵	𝜇𝐵	VERB
cana-3837	252	7	𝑈	𝑈	PROPN
cana-3837	252	8	]	]	PUNCT
cana-3837	252	9	)	)	PUNCT
cana-3837	252	10	]	]	PUNCT
cana-3837	252	11	,	,	PUNCT
cana-3837	252	12	[	[	X
cana-3837	252	13	(	(	PUNCT
cana-3837	252	14	min	min	NOUN
cana-3837	252	15	[	[	X
cana-3837	252	16	β	β	X
cana-3837	252	17	,	,	PUNCT
cana-3837	252	18	𝐴	𝐴	PROPN
cana-3837	252	19	𝐿	𝐿	PROPN
cana-3837	252	20	+	+	CCONJ
cana-3837	252	21	𝐵	𝐵	PROPN
cana-3837	252	22	𝐿	𝐿	PROPN
cana-3837	252	23	−	−	PROPN
cana-3837	252	24	𝐴	𝐴	PROPN
cana-3837	252	25	𝐿	𝐿	PROPN
cana-3837	252	26	.	.	PUNCT
cana-3837	253	1	𝐵	𝐵	PROPN
cana-3837	253	2	𝐿	𝐿	PROPN
cana-3837	253	3	]	]	PUNCT
cana-3837	253	4	,	,	PUNCT
cana-3837	253	5	min	min	NOUN
cana-3837	254	1	[	[	X
cana-3837	254	2	β	β	X
cana-3837	254	3	,	,	PUNCT
cana-3837	254	4	𝐴	𝐴	PROPN
cana-3837	254	5	𝑈	𝑈	PROPN
cana-3837	254	6	+	+	CCONJ
cana-3837	254	7	𝐵	𝐵	PROPN
cana-3837	254	8	𝑈	𝑈	PROPN
cana-3837	254	9	−	−	PROPN
cana-3837	254	10	𝐴	𝐴	PROPN
cana-3837	254	11	𝑈.	𝑈.	PROPN
cana-3837	254	12	𝐵	𝐵	PROPN
cana-3837	254	13	𝑈	𝑈	PROPN
cana-3837	254	14	]	]	PUNCT
cana-3837	254	15	)	)	PUNCT
cana-3837	254	16	]	]	PUNCT
cana-3837	254	17	.	.	PUNCT
cana-3837	255	1	ạ	ạ	DET
cana-3837	255	2	×3	×3	NOUN
cana-3837	255	3	ḅ	ḅ	NOUN
cana-3837	255	4	=	=	PUNCT
cana-3837	255	5	(	(	PUNCT
cana-3837	255	6	𝜏11	𝜏11	NOUN
cana-3837	255	7	𝜏12	𝜏12	X
cana-3837	255	8	𝜏13	𝜏13	PROPN
cana-3837	255	9	𝜏21	𝜏21	PROPN
cana-3837	255	10	𝜏22	𝜏22	PROPN
cana-3837	255	11	𝜏23	𝜏23	X
cana-3837	255	12	𝜏31	𝜏31	PROPN
cana-3837	255	13	𝜏32	𝜏32	PROPN
cana-3837	255	14	𝜏33	𝜏33	NOUN
cana-3837	255	15	)	)	PUNCT
cana-3837	255	16	and	and	CCONJ
cana-3837	255	17	ạ	ạ	PRON
cana-3837	255	18	×3	×3	NOUN
cana-3837	255	19	ḅ	ḅ	NOUN
cana-3837	255	20	=	=	PUNCT
cana-3837	255	21	(	(	PUNCT
cana-3837	255	22	𝜔11	𝜔11	PROPN
cana-3837	255	23	𝜔12	𝜔12	ADV
cana-3837	255	24	𝜔13	𝜔13	ADJ
cana-3837	255	25	𝜔21	𝜔21	NOUN
cana-3837	255	26	𝜔22	𝜔22	NOUN
cana-3837	255	27	𝜔23	𝜔23	NUM
cana-3837	255	28	𝜔31	𝜔31	NOUN
cana-3837	255	29	𝜔32	𝜔32	ADJ
cana-3837	255	30	𝜔33	𝜔33	NOUN
cana-3837	255	31	)	)	PUNCT
cana-3837	255	32	πα	πα	PROPN
cana-3837	255	33	,	,	PUNCT
cana-3837	255	34	β(ạ×3ḅ)=	β(ạ×3ḅ)=	NUM
cana-3837	255	35	(	(	PUNCT
cana-3837	255	36	[	[	X
cana-3837	255	37	𝜖11	𝜖11	NOUN
cana-3837	255	38	𝜃11	𝜃11	NOUN
cana-3837	255	39	𝜎11	𝜎11	PROPN
cana-3837	255	40	𝜋11	𝜋11	NOUN
cana-3837	255	41	]	]	PUNCT
cana-3837	256	1	[	[	X
cana-3837	256	2	𝜖12	𝜖12	NOUN
cana-3837	256	3	𝜃12	𝜃12	PROPN
cana-3837	256	4	𝜎12	𝜎12	NUM
cana-3837	256	5	𝜋12	𝜋12	NOUN
cana-3837	256	6	]	]	PUNCT
cana-3837	257	1	[	[	X
cana-3837	257	2	𝜖13	𝜖13	ADJ
cana-3837	257	3	𝜃13	𝜃13	X
cana-3837	257	4	𝜎13	𝜎13	ADJ
cana-3837	257	5	𝜋13	𝜋13	NOUN
cana-3837	257	6	]	]	PUNCT
cana-3837	258	1	[	[	X
cana-3837	258	2	𝜖21	𝜖21	ADJ
cana-3837	258	3	𝜃21	𝜃21	NOUN
cana-3837	258	4	𝜎21	𝜎21	NOUN
cana-3837	258	5	𝜋21	𝜋21	PROPN
cana-3837	258	6	]	]	PUNCT
cana-3837	259	1	[	[	X
cana-3837	259	2	𝜖22	𝜖22	NOUN
cana-3837	259	3	𝜃22	𝜃22	NOUN
cana-3837	259	4	𝜎22	𝜎22	PROPN
cana-3837	259	5	𝜋22	𝜋22	NOUN
cana-3837	259	6	]	]	PUNCT
cana-3837	260	1	[	[	X
cana-3837	260	2	𝜖23	𝜖23	PROPN
cana-3837	260	3	𝜃23	𝜃23	PROPN
cana-3837	260	4	𝜎23	𝜎23	PROPN
cana-3837	260	5	𝜋23	𝜋23	NOUN
cana-3837	260	6	]	]	PUNCT
cana-3837	261	1	[	[	X
cana-3837	261	2	𝜖31	𝜖31	NOUN
cana-3837	261	3	𝜃31	𝜃31	NUM
cana-3837	261	4	𝜎31	𝜎31	NOUN
cana-3837	261	5	𝜋31	𝜋31	NOUN
cana-3837	261	6	]	]	X
cana-3837	262	1	[	[	X
cana-3837	262	2	𝜖32	𝜖32	NOUN
cana-3837	262	3	𝜃32	𝜃32	PROPN
cana-3837	262	4	𝜎32	𝜎32	NOUN
cana-3837	262	5	𝜋32	𝜋32	NOUN
cana-3837	262	6	]	]	PUNCT
cana-3837	263	1	[	[	X
cana-3837	263	2	𝜖33	𝜖33	ADJ
cana-3837	263	3	𝜃33	𝜃33	NOUN
cana-3837	263	4	𝜎33	𝜎33	NOUN
cana-3837	263	5	𝜋33	𝜋33	NOUN
cana-3837	263	6	]	]	PUNCT
cana-3837	264	1	[	[	X
cana-3837	264	2	𝜖14	𝜖14	NOUN
cana-3837	264	3	𝜃14	𝜃14	VERB
cana-3837	264	4	𝜎14	𝜎14	NOUN
cana-3837	264	5	𝜋14	𝜋14	NOUN
cana-3837	264	6	]	]	PUNCT
cana-3837	265	1	[	[	X
cana-3837	265	2	𝜖24	𝜖24	NUM
cana-3837	265	3	𝜃24	𝜃24	NOUN
cana-3837	265	4	𝜎24	𝜎24	VERB
cana-3837	265	5	𝜋24	𝜋24	NOUN
cana-3837	265	6	]	]	PUNCT
cana-3837	266	1	[	[	X
cana-3837	266	2	𝜖34	𝜖34	NOUN
cana-3837	266	3	𝜃34	𝜃34	VERB
cana-3837	266	4	𝜎34	𝜎34	PROPN
cana-3837	266	5	𝜋34	𝜋34	PROPN
cana-3837	266	6	]	]	PUNCT
cana-3837	266	7	)	)	PUNCT
cana-3837	266	8	×3	×3	NOUN
cana-3837	266	9	(	(	PUNCT
cana-3837	266	10	[	[	X
cana-3837	266	11	11	11	X
cana-3837	266	12	𝜌11	𝜌11	ADJ
cana-3837	266	13			NOUN
cana-3837	266	14	11	11	NUM
cana-3837	266	15			NOUN
cana-3837	266	16	11	11	NUM
cana-3837	266	17	]	]	PUNCT
cana-3837	267	1	[	[	X
cana-3837	267	2	12	12	X
cana-3837	267	3	𝜌12	𝜌12	ADJ
cana-3837	267	4			NOUN
cana-3837	267	5	12	12	NUM
cana-3837	267	6			NOUN
cana-3837	267	7	12	12	NUM
cana-3837	267	8	]	]	PUNCT
cana-3837	268	1	[	[	X
cana-3837	268	2	13	13	VERB
cana-3837	268	3	𝜌13	𝜌13	ADJ
cana-3837	268	4			NOUN
cana-3837	268	5	13	13	NUM
cana-3837	268	6			NOUN
cana-3837	268	7	13	13	NUM
cana-3837	268	8	]	]	PUNCT
cana-3837	269	1	[	[	X
cana-3837	269	2	21	21	NOUN
cana-3837	269	3	𝜌21	𝜌21	NOUN
cana-3837	269	4			NOUN
cana-3837	269	5	21	21	NUM
cana-3837	269	6			NOUN
cana-3837	269	7	21	21	NUM
cana-3837	269	8	]	]	PUNCT
cana-3837	270	1	[	[	X
cana-3837	270	2	22	22	NOUN
cana-3837	270	3	𝜌22	𝜌22	NOUN
cana-3837	270	4			NOUN
cana-3837	270	5	22	22	NUM
cana-3837	270	6			NOUN
cana-3837	270	7	22	22	NUM
cana-3837	270	8	]	]	PUNCT
cana-3837	271	1	[	[	X
cana-3837	271	2	23	23	X
cana-3837	271	3	𝜌23	𝜌23	VERB
cana-3837	271	4			NOUN
cana-3837	271	5	23	23	NUM
cana-3837	271	6			NOUN
cana-3837	271	7	23	23	NUM
cana-3837	271	8	]	]	PUNCT
cana-3837	272	1	[	[	X
cana-3837	272	2	31	31	PRON
cana-3837	272	3	𝜌31	𝜌31	ADJ
cana-3837	272	4			NOUN
cana-3837	272	5	31	31	NUM
cana-3837	272	6			NOUN
cana-3837	272	7	31	31	NUM
cana-3837	272	8	]	]	PUNCT
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cana-3837	273	4			NOUN
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cana-3837	273	6			NOUN
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cana-3837	273	8	]	]	PUNCT
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cana-3837	274	4			NOUN
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cana-3837	274	6			NOUN
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cana-3837	274	8	]	]	PUNCT
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cana-3837	275	4			NOUN
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cana-3837	275	6			NOUN
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cana-3837	275	8	]	]	PUNCT
cana-3837	276	1	[	[	X
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cana-3837	276	4			NOUN
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cana-3837	276	6			NOUN
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cana-3837	277	4			NOUN
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cana-3837	277	11	=	=	PUNCT
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cana-3837	278	7	∙	∙	PROPN
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cana-3837	278	9	)	)	PUNCT
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cana-3837	278	27	+	+	CCONJ
cana-3837	278	28			NOUN
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cana-3837	278	30	−	−	NOUN
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cana-3837	278	32	∙	∙	PROPN
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cana-3837	278	41	+	+	CCONJ
cana-3837	278	42			VERB
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cana-3837	278	44	−	−	NOUN
cana-3837	278	45	𝜋11	𝜋11	NOUN
cana-3837	278	46	∙	∙	PROPN
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cana-3837	278	48	)	)	PUNCT
cana-3837	278	49	]	]	PUNCT
cana-3837	279	1	+	+	PUNCT
cana-3837	279	2	[	[	X
cana-3837	279	3	min	min	X
cana-3837	279	4	(	(	PUNCT
cana-3837	279	5	α	α	NOUN
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cana-3837	279	8	∙	∙	PROPN
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cana-3837	279	10	)	)	PUNCT
cana-3837	279	11	,	,	PUNCT
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cana-3837	279	14	α	α	PROPN
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cana-3837	279	17	∙	∙	PROPN
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cana-3837	279	19	)	)	PUNCT
cana-3837	279	20	]	]	PUNCT
cana-3837	279	21	,	,	PUNCT
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cana-3837	279	24	(	(	PUNCT
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cana-3837	279	26	,	,	PUNCT
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cana-3837	279	28	+	+	CCONJ
cana-3837	279	29			NOUN
cana-3837	279	30	21	21	NUM
cana-3837	279	31	−	−	NOUN
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cana-3837	279	33	∙	∙	PROPN
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cana-3837	279	35	)	)	PUNCT
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cana-3837	279	39	β	β	X
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cana-3837	279	42	+	+	CCONJ
cana-3837	279	43			NOUN
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cana-3837	279	45	−	−	NOUN
cana-3837	279	46	𝜋12	𝜋12	NOUN
cana-3837	279	47	∙	∙	PROPN
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cana-3837	279	49	)	)	PUNCT
cana-3837	279	50	]	]	PUNCT
cana-3837	280	1	+	+	PUNCT
cana-3837	280	2	[	[	X
cana-3837	280	3	min	min	X
cana-3837	280	4	(	(	PUNCT
cana-3837	280	5	α	α	NOUN
cana-3837	280	6	,	,	PUNCT
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cana-3837	280	8	∙	∙	PROPN
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cana-3837	280	10	)	)	PUNCT
cana-3837	280	11	,	,	PUNCT
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cana-3837	280	13	(	(	PUNCT
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cana-3837	280	20	]	]	PUNCT
cana-3837	280	21	,	,	PUNCT
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cana-3837	280	24	(	(	PUNCT
cana-3837	280	25	β	β	X
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cana-3837	280	28	+	+	CCONJ
cana-3837	280	29			NOUN
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cana-3837	280	33	∙	∙	PROPN
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cana-3837	280	36	,	,	PUNCT
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cana-3837	280	39	β	β	X
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cana-3837	280	42	+	+	CCONJ
cana-3837	280	43			VERB
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cana-3837	280	45	−	−	NOUN
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cana-3837	280	47	∙	∙	PROPN
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cana-3837	280	49	)	)	PUNCT
cana-3837	280	50	]	]	PUNCT
cana-3837	281	1	+	+	PUNCT
cana-3837	281	2	[	[	X
cana-3837	281	3	min	min	X
cana-3837	281	4	(	(	PUNCT
cana-3837	281	5	α	α	NOUN
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cana-3837	281	8	∙	∙	PROPN
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cana-3837	281	10	)	)	PUNCT
cana-3837	281	11	,	,	PUNCT
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cana-3837	281	17	∙	∙	PROPN
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cana-3837	281	19	)	)	PUNCT
cana-3837	281	20	]	]	PUNCT
cana-3837	281	21	,	,	PUNCT
cana-3837	281	22	[	[	X
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cana-3837	281	24	(	(	PUNCT
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cana-3837	281	28	+	+	CCONJ
cana-3837	281	29			NOUN
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cana-3837	281	42	+	+	CCONJ
cana-3837	281	43			VERB
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cana-3837	281	46	𝜋14	𝜋14	NOUN
cana-3837	281	47	∙	∙	PROPN
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cana-3837	281	49	)	)	PUNCT
cana-3837	281	50	]	]	PUNCT
cana-3837	281	51	.	.	PUNCT
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cana-3837	282	2	,	,	PUNCT
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cana-3837	282	4	can	can	AUX
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cana-3837	282	8	of	of	ADP
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cana-3837	282	10	.	.	PUNCT
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cana-3837	282	12	=	=	SYM
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cana-3837	282	17	(	(	PUNCT
cana-3837	282	18	α	α	NOUN
cana-3837	282	19	,	,	PUNCT
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cana-3837	282	21	∙	∙	PROPN
cana-3837	282	22	11	11	X
cana-3837	282	23	)	)	PUNCT
cana-3837	282	24	,	,	PUNCT
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cana-3837	282	32	)	)	PUNCT
cana-3837	282	33	]	]	PUNCT
cana-3837	282	34	,	,	PUNCT
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cana-3837	282	41	+	+	CCONJ
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cana-3837	282	43	11	11	NUM
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cana-3837	282	46	∙	∙	PROPN
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cana-3837	282	48	)	)	PUNCT
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cana-3837	282	52	β	β	X
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cana-3837	282	55	+	+	CCONJ
cana-3837	282	56			VERB
cana-3837	282	57	11	11	NUM
cana-3837	282	58	−	−	NOUN
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cana-3837	282	60	∙	∙	PROPN
cana-3837	282	61	11)],[min	11)],[min	X
cana-3837	282	62	(	(	PUNCT
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cana-3837	282	66	∙	∙	PROPN
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cana-3837	282	68	)	)	PUNCT
cana-3837	282	69	,	,	PUNCT
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cana-3837	283	3	α	α	PROPN
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cana-3837	283	6	∙	∙	PROPN
cana-3837	283	7	𝜌21	𝜌21	PROPN
cana-3837	283	8	)	)	PUNCT
cana-3837	283	9	]	]	PUNCT
cana-3837	283	10	,	,	PUNCT
cana-3837	283	11	[	[	X
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cana-3837	283	13	(	(	PUNCT
cana-3837	283	14	β	β	X
cana-3837	283	15	,	,	PUNCT
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cana-3837	283	17	+	+	CCONJ
cana-3837	283	18			NOUN
cana-3837	283	19	21	21	NUM
cana-3837	283	20	−	−	NOUN
cana-3837	283	21	𝜎12	𝜎12	ADJ
cana-3837	283	22	∙	∙	PROPN
cana-3837	283	23	21	21	NOUN
cana-3837	283	24	)	)	PUNCT
cana-3837	283	25	,	,	PUNCT
cana-3837	283	26	max	max	PROPN
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cana-3837	283	28	β	β	X
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cana-3837	283	31	+	+	CCONJ
cana-3837	283	32			NOUN
cana-3837	283	33	21	21	NUM
cana-3837	283	34	−	−	NOUN
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cana-3837	283	36	∙	∙	PROPN
cana-3837	283	37	21	21	PROPN
cana-3837	283	38	)	)	PUNCT
cana-3837	283	39	]	]	PUNCT
cana-3837	283	40	)	)	PUNCT
cana-3837	284	1	+	+	PUNCT
cana-3837	284	2	[	[	X
cana-3837	284	3	min	min	X
cana-3837	284	4	(	(	PUNCT
cana-3837	284	5	α	α	NOUN
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cana-3837	284	8	∙	∙	PROPN
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cana-3837	284	10	)	)	PUNCT
cana-3837	284	11	,	,	PUNCT
cana-3837	284	12	min	min	PROPN
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cana-3837	284	17	∙	∙	PROPN
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cana-3837	284	19	)	)	PUNCT
cana-3837	284	20	]	]	PUNCT
cana-3837	284	21	,	,	PUNCT
cana-3837	285	1	[	[	X
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cana-3837	285	3	(	(	PUNCT
cana-3837	285	4	β	β	X
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cana-3837	285	7	+	+	CCONJ
cana-3837	285	8			NOUN
cana-3837	285	9	31	31	NUM
cana-3837	285	10	−	−	NOUN
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cana-3837	285	12	∙	∙	PROPN
cana-3837	285	13	31	31	PROPN
cana-3837	285	14	)	)	PUNCT
cana-3837	285	15	,	,	PUNCT
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cana-3837	285	18	β	β	X
cana-3837	285	19	,	,	PUNCT
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cana-3837	285	21	+	+	CCONJ
cana-3837	285	22			VERB
cana-3837	285	23	31	31	NUM
cana-3837	285	24	−	−	NOUN
cana-3837	285	25	𝜋13	𝜋13	ADJ
cana-3837	285	26	∙	∙	PROPN
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cana-3837	286	21	,	,	PUNCT
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cana-3837	286	51	.	.	PUNCT
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cana-3837	287	10	.	.	PUNCT
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cana-3837	287	23	∙	∙	PROPN
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cana-3837	287	36	,	,	PUNCT
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cana-3837	288	7	+	+	CCONJ
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cana-3837	288	10	−	−	NOUN
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cana-3837	288	14	)	)	PUNCT
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cana-3837	288	21	+	+	CCONJ
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cana-3837	288	24	−	−	NOUN
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cana-3837	288	26	∙	∙	PROPN
cana-3837	288	27	11)],[min	11)],[min	X
cana-3837	288	28	(	(	PUNCT
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cana-3837	288	32	∙	∙	PROPN
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cana-3837	288	34	)	)	PUNCT
cana-3837	288	35	,	,	PUNCT
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cana-3837	289	6	∙	∙	PROPN
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cana-3837	289	8	)	)	PUNCT
cana-3837	289	9	]	]	PUNCT
cana-3837	289	10	,	,	PUNCT
cana-3837	289	11	[	[	X
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cana-3837	289	20	−	−	NOUN
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cana-3837	289	22	∙	∙	PROPN
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cana-3837	289	24	)	)	PUNCT
cana-3837	289	25	,	,	PUNCT
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cana-3837	289	31	+	+	CCONJ
cana-3837	289	32			NOUN
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cana-3837	289	36	∙	∙	PROPN
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cana-3837	289	38	(	(	PUNCT
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cana-3837	289	42	∙	∙	PROPN
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cana-3837	289	44	)	)	PUNCT
cana-3837	289	45	,	,	PUNCT
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cana-3837	289	55	,	,	PUNCT
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cana-3837	289	58	(	(	PUNCT
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cana-3837	289	62	+	+	CCONJ
cana-3837	289	63			NOUN
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cana-3837	289	67	∙	∙	PROPN
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cana-3837	289	69	)	)	PUNCT
cana-3837	289	70	,	,	PUNCT
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cana-3837	290	4	)	)	PUNCT
cana-3837	290	5	57	57	NUM
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cana-3837	290	17	∙	∙	PROPN
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cana-3837	290	21	)	)	PUNCT
cana-3837	291	1	+	+	PUNCT
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cana-3837	291	8	∙	∙	PROPN
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cana-3837	291	19	)	)	PUNCT
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cana-3837	291	21	,	,	PUNCT
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cana-3837	291	33	∙	∙	PROPN
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cana-3837	291	43	+	+	CCONJ
cana-3837	291	44			VERB
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cana-3837	291	46	−	−	NOUN
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cana-3837	291	48	∙	∙	PROPN
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cana-3837	291	51	]	]	PUNCT
cana-3837	291	52	.	.	PUNCT
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cana-3837	292	10	.	.	PUNCT
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cana-3837	292	27	)	)	PUNCT
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cana-3837	292	36	)	)	PUNCT
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cana-3837	292	38	,	,	PUNCT
cana-3837	293	1	[	[	X
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cana-3837	293	4	β	β	X
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cana-3837	293	6	𝜎11	𝜎11	VERB
cana-3837	293	7	+	+	CCONJ
cana-3837	293	8			NOUN
cana-3837	293	9	11	11	NUM
cana-3837	293	10	−	−	NOUN
cana-3837	293	11	𝜎11	𝜎11	NOUN
cana-3837	293	12	∙	∙	PROPN
cana-3837	293	13	11	11	PROPN
cana-3837	293	14	)	)	PUNCT
cana-3837	293	15	,	,	PUNCT
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cana-3837	293	18	β	β	X
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cana-3837	293	21	+	+	CCONJ
cana-3837	293	22			VERB
cana-3837	293	23	11	11	NUM
cana-3837	293	24	−	−	NOUN
cana-3837	293	25	𝜋11	𝜋11	NOUN
cana-3837	293	26	∙	∙	PROPN
cana-3837	293	27	11)],[min	11)],[min	X
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cana-3837	293	32	∙	∙	PROPN
cana-3837	293	33	21	21	NUM
cana-3837	293	34	)	)	PUNCT
cana-3837	293	35	,	,	PUNCT
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cana-3837	294	9	]	]	PUNCT
cana-3837	294	10	,	,	PUNCT
cana-3837	294	11	[	[	X
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cana-3837	294	24	)	)	PUNCT
cana-3837	294	25	,	,	PUNCT
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cana-3837	294	28	β	β	X
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cana-3837	294	31	+	+	CCONJ
cana-3837	294	32			NOUN
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cana-3837	294	34	−	−	NOUN
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cana-3837	294	36	∙	∙	PROPN
cana-3837	294	37	21)]),[min	21)]),[min	PROPN
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cana-3837	294	39	α	α	NOUN
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cana-3837	294	42	∙	∙	PROPN
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cana-3837	296	7	∙	∙	PROPN
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cana-3837	300	10	.	.	PROPN
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cana-3837	302	68	,	,	PUNCT
cana-3837	302	69	[	[	X
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cana-3837	308	52	.	.	PUNCT
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cana-3837	309	10	.	.	PROPN
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cana-3837	311	66	,	,	PUNCT
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cana-3837	311	68	∙	∙	PROPN
cana-3837	311	69	𝜌21	𝜌21	PROPN
cana-3837	311	70	)	)	PUNCT
cana-3837	311	71	]	]	PUNCT
cana-3837	311	72	,	,	PUNCT
cana-3837	311	73	[	[	X
cana-3837	311	74	min	min	X
cana-3837	311	75	(	(	PUNCT
cana-3837	311	76	β	β	X
cana-3837	311	77	,	,	PUNCT
cana-3837	311	78	𝜎12	𝜎12	NOUN
cana-3837	311	79	+	+	CCONJ
cana-3837	311	80			NOUN
cana-3837	311	81	21	21	NUM
cana-3837	311	82	−	−	NOUN
cana-3837	311	83	𝜎12	𝜎12	ADJ
cana-3837	311	84	∙	∙	PROPN
cana-3837	311	85	21	21	PROPN
cana-3837	311	86	)	)	PUNCT
cana-3837	311	87	,	,	PUNCT
cana-3837	311	88	min	min	PROPN
cana-3837	311	89	(	(	PUNCT
cana-3837	311	90	β	β	X
cana-3837	311	91	,	,	PUNCT
cana-3837	311	92	𝜋12	𝜋12	NOUN
cana-3837	311	93	+	+	CCONJ
cana-3837	311	94			NOUN
cana-3837	311	95	21	21	NUM
cana-3837	311	96	−	−	NOUN
cana-3837	311	97	𝜋12	𝜋12	NOUN
cana-3837	311	98	∙	∙	PROPN
cana-3837	311	99	21)]),[max	21)]),[max	NOUN
cana-3837	311	100	(	(	PUNCT
cana-3837	311	101	α	α	NOUN
cana-3837	311	102	,	,	PUNCT
cana-3837	311	103	𝜖13	𝜖13	ADJ
cana-3837	311	104	∙	∙	PROPN
cana-3837	311	105	31	31	NUM
cana-3837	311	106	)	)	PUNCT
cana-3837	311	107	,	,	PUNCT
cana-3837	311	108	max	max	PROPN
cana-3837	311	109	(	(	PUNCT
cana-3837	311	110	α	α	X
cana-3837	311	111	,	,	PUNCT
cana-3837	311	112	𝜃13	𝜃13	PROPN
cana-3837	311	113	∙	∙	PROPN
cana-3837	311	114	𝜌31	𝜌31	NOUN
cana-3837	311	115	)	)	PUNCT
cana-3837	311	116	]	]	PUNCT
cana-3837	311	117	,	,	PUNCT
cana-3837	311	118	[	[	X
cana-3837	311	119	min	min	X
cana-3837	311	120	(	(	PUNCT
cana-3837	311	121	β	β	X
cana-3837	311	122	,	,	PUNCT
cana-3837	311	123	𝜎13	𝜎13	ADJ
cana-3837	311	124	+	+	CCONJ
cana-3837	311	125			NOUN
cana-3837	311	126	31	31	NUM
cana-3837	311	127	−	−	NOUN
cana-3837	311	128	𝜎13	𝜎13	VERB
cana-3837	311	129	∙	∙	PROPN
cana-3837	311	130			NOUN
cana-3837	311	131	31	31	NUM
cana-3837	311	132	)	)	PUNCT
cana-3837	311	133	,	,	PUNCT
cana-3837	311	134	min	min	PROPN
cana-3837	311	135	(	(	PUNCT
cana-3837	311	136	β	β	X
cana-3837	311	137	,	,	PUNCT
cana-3837	311	138	𝜋13	𝜋13	NOUN
cana-3837	311	139	+	+	CCONJ
cana-3837	311	140			VERB
cana-3837	311	141	31	31	NUM
cana-3837	311	142	−	−	NOUN
cana-3837	311	143	𝜋13	𝜋13	ADJ
cana-3837	311	144	∙	∙	PROPN
cana-3837	311	145	31)]),[max	31)]),[max	NOUN
cana-3837	311	146	(	(	PUNCT
cana-3837	311	147	α	α	NOUN
cana-3837	311	148	,	,	PUNCT
cana-3837	311	149	𝜖14	𝜖14	NOUN
cana-3837	311	150	∙	∙	PROPN
cana-3837	311	151	41	41	NUM
cana-3837	311	152	)	)	PUNCT
cana-3837	311	153	,	,	PUNCT
cana-3837	311	154	max	max	PROPN
cana-3837	311	155	(	(	PUNCT
cana-3837	311	156	α	α	NOUN
cana-3837	311	157	,	,	PUNCT
cana-3837	311	158	𝜃14	𝜃14	VERB
cana-3837	311	159	∙	∙	PROPN
cana-3837	311	160	𝜌41	𝜌41	NUM
cana-3837	311	161	)	)	PUNCT
cana-3837	311	162	]	]	PUNCT
cana-3837	311	163	,	,	PUNCT
cana-3837	311	164	[	[	X
cana-3837	311	165	min	min	X
cana-3837	311	166	(	(	PUNCT
cana-3837	311	167	β	β	X
cana-3837	311	168	,	,	PUNCT
cana-3837	311	169	𝜎14	𝜎14	NOUN
cana-3837	311	170	+	+	CCONJ
cana-3837	311	171			NOUN
cana-3837	311	172	41	41	NUM
cana-3837	312	1	−	−	NOUN
cana-3837	312	2	𝜎14	𝜎14	NOUN
cana-3837	312	3	∙	∙	PROPN
cana-3837	312	4	41	41	PROPN
cana-3837	312	5	)	)	PUNCT
cana-3837	312	6	,	,	PUNCT
cana-3837	312	7	min	min	PROPN
cana-3837	312	8	(	(	PUNCT
cana-3837	312	9	β	β	X
cana-3837	312	10	,	,	PUNCT
cana-3837	312	11	𝜋14	𝜋14	NOUN
cana-3837	312	12	+	+	CCONJ
cana-3837	312	13			VERB
cana-3837	312	14	41	41	NUM
cana-3837	312	15	−	−	NOUN
cana-3837	312	16	𝜋14	𝜋14	NOUN
cana-3837	312	17	∙	∙	PROPN
cana-3837	312	18	41	41	PROPN
cana-3837	312	19	)	)	PUNCT
cana-3837	312	20	]	]	PUNCT
cana-3837	312	21	)	)	PUNCT
cana-3837	312	22	.	.	PUNCT
cana-3837	313	1	similarly	similarly	ADV
cana-3837	313	2	,	,	PUNCT
cana-3837	313	3	we	we	PRON
cana-3837	313	4	can	can	AUX
cana-3837	313	5	expand	expand	VERB
cana-3837	313	6	the	the	DET
cana-3837	313	7	expression	expression	NOUN
cana-3837	313	8	of	of	ADP
cana-3837	313	9	𝜔12,𝜔13,𝜔21,𝜔22,𝜔23,𝜔31,𝜔32,𝜔33	𝜔12,𝜔13,𝜔21,𝜔22,𝜔23,𝜔31,𝜔32,𝜔33	PROPN
cana-3837	313	10	.	.	PROPN
cana-3837	313	11	hence	hence	ADV
cana-3837	313	12	πα	πα	ADJ
cana-3837	313	13	,	,	PUNCT
cana-3837	313	14	β(ạ	β(ạ	NOUN
cana-3837	313	15	×3	×3	NOUN
cana-3837	313	16	ḅ	ḅ	NOUN
cana-3837	313	17	)	)	PUNCT
cana-3837	313	18	and	and	CCONJ
cana-3837	313	19	ωα	ωα	ADP
cana-3837	313	20	,	,	PUNCT
cana-3837	313	21	β(ạ	β(ạ	NOUN
cana-3837	313	22	×3	×3	NOUN
cana-3837	313	23	ḅ	ḅ	NOUN
cana-3837	313	24	)	)	PUNCT
cana-3837	313	25	is	be	AUX
cana-3837	313	26	an	an	DET
cana-3837	313	27	interval	interval	NOUN
cana-3837	313	28	valued	value	VERB
cana-3837	313	29	intuitionistic	intuitionistic	ADJ
cana-3837	313	30	fuzzy	fuzzy	ADJ
cana-3837	313	31	matrices	matrix	NOUN
cana-3837	313	32	.	.	PUNCT
cana-3837	314	1	communications	communication	NOUN
cana-3837	314	2	on	on	ADP
cana-3837	314	3	applied	apply	VERB
cana-3837	314	4	nonlinear	nonlinear	ADJ
cana-3837	314	5	analysis	analysis	NOUN
cana-3837	314	6	issn	issn	NOUN
cana-3837	314	7	:	:	PUNCT
cana-3837	314	8	1074	1074	NUM
cana-3837	314	9	-	-	PUNCT
cana-3837	314	10	133x	133x	NUM
cana-3837	314	11	vol	vol	NOUN
cana-3837	314	12	32	32	NUM
cana-3837	314	13	no	no	NOUN
cana-3837	314	14	.	.	PUNCT
cana-3837	315	1	9s	9s	NUM
cana-3837	315	2	(	(	PUNCT
cana-3837	315	3	2025	2025	NUM
cana-3837	315	4	)	)	PUNCT
cana-3837	315	5	58	58	NUM
cana-3837	316	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3837	316	2	theorem	theorem	VERB
cana-3837	316	3	4.4	4.4	NUM
cana-3837	316	4	.	.	PUNCT
cana-3837	317	1	if	if	SCONJ
cana-3837	317	2	ạ	ạ	X
cana-3837	317	3	×4	×4	NOUN
cana-3837	317	4	ḅ	ḅ	PROPN
cana-3837	317	5	are	be	AUX
cana-3837	317	6	an	an	DET
cana-3837	317	7	interval	interval	NOUN
cana-3837	317	8	valued	value	VERB
cana-3837	317	9	intuitionistic	intuitionistic	ADJ
cana-3837	317	10	fuzzy	fuzzy	ADJ
cana-3837	317	11	matrices	matrix	NOUN
cana-3837	317	12	,	,	PUNCT
cana-3837	317	13	then	then	ADV
cana-3837	317	14	πα	πα	PRON
cana-3837	317	15	,	,	PUNCT
cana-3837	317	16	β(ạ	β(ạ	ADP
cana-3837	317	17	×4	×4	PROPN
cana-3837	317	18	ḅ	ḅ	PROPN
cana-3837	317	19	)	)	PUNCT
cana-3837	317	20	and	and	CCONJ
cana-3837	317	21	ωα	ωα	ADP
cana-3837	317	22	,	,	PUNCT
cana-3837	317	23	β(ạ	β(ạ	NOUN
cana-3837	317	24	×4	×4	PROPN
cana-3837	317	25	ḅ	ḅ	PROPN
cana-3837	317	26	)	)	PUNCT
cana-3837	317	27	is	be	AUX
cana-3837	317	28	also	also	ADV
cana-3837	317	29	an	an	DET
cana-3837	317	30	interval	interval	NOUN
cana-3837	317	31	valued	value	VERB
cana-3837	317	32	intuitionistic	intuitionistic	ADJ
cana-3837	317	33	fuzzy	fuzzy	ADJ
cana-3837	317	34	matrices	matrix	NOUN
cana-3837	317	35	.	.	PUNCT
cana-3837	318	1	proof	proof	NOUN
cana-3837	318	2	.	.	PUNCT
cana-3837	319	1	let	let	VERB
cana-3837	319	2	us	we	PRON
cana-3837	319	3	consider	consider	VERB
cana-3837	319	4	ạ	ạ	NOUN
cana-3837	319	5	have	have	VERB
cana-3837	319	6	3×4	3×4	NUM
cana-3837	319	7	matrix	matrix	NOUN
cana-3837	319	8	and	and	CCONJ
cana-3837	319	9	ḅ	ḅ	NOUN
cana-3837	319	10	have	have	VERB
cana-3837	319	11	4×3	4×3	NOUN
cana-3837	319	12	matrix	matrix	NOUN
cana-3837	319	13	both	both	PRON
cana-3837	319	14	are	be	AUX
cana-3837	319	15	an	an	DET
cana-3837	319	16	interval	interval	NOUN
cana-3837	319	17	valued	value	VERB
cana-3837	319	18	intuitionistic	intuitionistic	ADJ
cana-3837	319	19	fuzzy	fuzzy	ADJ
cana-3837	319	20	matrices	matrix	NOUN
cana-3837	319	21	.	.	PUNCT
cana-3837	320	1	then	then	ADV
cana-3837	320	2	πα	πα	INTJ
cana-3837	320	3	,	,	PUNCT
cana-3837	320	4	β(ạ	β(ạ	ADP
cana-3837	320	5	×4	×4	PROPN
cana-3837	320	6	ḅ	ḅ	PROPN
cana-3837	320	7	)	)	PUNCT
cana-3837	320	8	=	=	PUNCT
cana-3837	321	1	[	[	X
cana-3837	321	2	(	(	PUNCT
cana-3837	321	3	min	min	NOUN
cana-3837	321	4	[	[	X
cana-3837	321	5	min	min	X
cana-3837	321	6	(	(	PUNCT
cana-3837	321	7	𝛼	𝛼	NOUN
cana-3837	321	8	,	,	PUNCT
cana-3837	321	9	𝜇𝐴	𝜇𝐴	ADP
cana-3837	321	10	𝐿	𝐿	PROPN
cana-3837	321	11	,	,	PUNCT
cana-3837	321	12	𝜇𝑩	𝜇𝑩	PROPN
cana-3837	321	13	𝐿	𝐿	PROPN
cana-3837	321	14	)	)	PUNCT
cana-3837	321	15	]	]	PUNCT
cana-3837	321	16	,	,	PUNCT
cana-3837	321	17	min	min	PROPN
cana-3837	322	1	[	[	X
cana-3837	322	2	min	min	X
cana-3837	322	3	(	(	PUNCT
cana-3837	322	4	𝛼	𝛼	NOUN
cana-3837	322	5	,	,	PUNCT
cana-3837	322	6	𝜇𝐴	𝜇𝐴	ADP
cana-3837	322	7	𝑈	𝑈	PROPN
cana-3837	322	8	,	,	PUNCT
cana-3837	322	9	𝜇𝐵	𝜇𝐵	NOUN
cana-3837	322	10	𝑈	𝑈	NOUN
cana-3837	322	11	)	)	PUNCT
cana-3837	322	12	]	]	PUNCT
cana-3837	322	13	)	)	PUNCT
cana-3837	322	14	]	]	PUNCT
cana-3837	322	15	,	,	PUNCT
cana-3837	322	16	[	[	X
cana-3837	322	17	(	(	PUNCT
cana-3837	322	18	max	max	PROPN
cana-3837	322	19	[	[	X
cana-3837	322	20	max	max	PROPN
cana-3837	322	21	(	(	PUNCT
cana-3837	322	22	β,𝐴	β,𝐴	PROPN
cana-3837	322	23	𝐿	𝐿	PROPN
cana-3837	322	24	,	,	PUNCT
cana-3837	322	25	𝐵	𝐵	PROPN
cana-3837	322	26	𝐿	𝐿	PROPN
cana-3837	322	27	)	)	PUNCT
cana-3837	322	28	]	]	PUNCT
cana-3837	322	29	,	,	PUNCT
cana-3837	322	30	max	max	PROPN
cana-3837	322	31	[	[	X
cana-3837	322	32	max	max	X
cana-3837	322	33	(	(	PUNCT
cana-3837	322	34	β	β	X
cana-3837	322	35	,	,	PUNCT
cana-3837	322	36	𝐴	𝐴	PROPN
cana-3837	322	37	𝑈	𝑈	PROPN
cana-3837	322	38	,	,	PUNCT
cana-3837	322	39	𝐵	𝐵	PROPN
cana-3837	322	40	𝑈	𝑈	PROPN
cana-3837	322	41	)	)	PUNCT
cana-3837	322	42	]	]	PUNCT
cana-3837	322	43	)	)	PUNCT
cana-3837	322	44	]	]	PUNCT
cana-3837	322	45	and	and	CCONJ
cana-3837	322	46	ωα	ωα	X
cana-3837	322	47	,	,	PUNCT
cana-3837	322	48	β(ạ	β(ạ	NOUN
cana-3837	322	49	×4	×4	PROPN
cana-3837	322	50	ḅ	ḅ	PROPN
cana-3837	322	51	)	)	PUNCT
cana-3837	322	52	=	=	NOUN
cana-3837	323	1	[	[	X
cana-3837	323	2	(	(	PUNCT
cana-3837	323	3	max	max	PROPN
cana-3837	323	4	[	[	X
cana-3837	323	5	max	max	X
cana-3837	323	6	(	(	PUNCT
cana-3837	323	7	𝛼	𝛼	PROPN
cana-3837	323	8	,	,	PUNCT
cana-3837	323	9	𝜇𝐴	𝜇𝐴	ADP
cana-3837	323	10	𝐿	𝐿	PROPN
cana-3837	323	11	,	,	PUNCT
cana-3837	323	12	𝜇𝑩	𝜇𝑩	PROPN
cana-3837	323	13	𝐿	𝐿	PROPN
cana-3837	323	14	)	)	PUNCT
cana-3837	323	15	]	]	PUNCT
cana-3837	323	16	,	,	PUNCT
cana-3837	323	17	max	max	PROPN
cana-3837	324	1	[	[	X
cana-3837	324	2	max	max	X
cana-3837	324	3	(	(	PUNCT
cana-3837	324	4	𝛼	𝛼	PROPN
cana-3837	324	5	,	,	PUNCT
cana-3837	324	6	𝜇𝐴	𝜇𝐴	ADP
cana-3837	324	7	𝑈	𝑈	PROPN
cana-3837	324	8	,	,	PUNCT
cana-3837	324	9	𝜇𝐵	𝜇𝐵	NOUN
cana-3837	324	10	𝑈	𝑈	NOUN
cana-3837	324	11	)	)	PUNCT
cana-3837	324	12	]	]	PUNCT
cana-3837	324	13	)	)	PUNCT
cana-3837	324	14	]	]	PUNCT
cana-3837	324	15	,	,	PUNCT
cana-3837	324	16	[	[	X
cana-3837	324	17	(	(	PUNCT
cana-3837	324	18	min	min	NOUN
cana-3837	324	19	[	[	X
cana-3837	324	20	min	min	X
cana-3837	324	21	(	(	PUNCT
cana-3837	324	22	β,𝐴	β,𝐴	NOUN
cana-3837	324	23	𝐿	𝐿	PROPN
cana-3837	324	24	,	,	PUNCT
cana-3837	324	25	𝐵	𝐵	PROPN
cana-3837	324	26	𝐿	𝐿	PROPN
cana-3837	324	27	)	)	PUNCT
cana-3837	324	28	]	]	PUNCT
cana-3837	324	29	,	,	PUNCT
cana-3837	324	30	min	min	PROPN
cana-3837	325	1	[	[	X
cana-3837	325	2	min	min	X
cana-3837	325	3	(	(	PUNCT
cana-3837	325	4	β	β	X
cana-3837	325	5	,	,	PUNCT
cana-3837	325	6	𝐴	𝐴	PROPN
cana-3837	325	7	𝑈	𝑈	PROPN
cana-3837	325	8	,	,	PUNCT
cana-3837	325	9	𝐵	𝐵	PROPN
cana-3837	325	10	𝑈	𝑈	PROPN
cana-3837	325	11	)	)	PUNCT
cana-3837	325	12	]	]	PUNCT
cana-3837	325	13	)	)	PUNCT
cana-3837	325	14	]	]	PUNCT
cana-3837	325	15	.	.	PUNCT
cana-3837	326	1	ạ	ạ	ADP
cana-3837	326	2	×4	×4	NOUN
cana-3837	326	3	ḅ	ḅ	NOUN
cana-3837	326	4	=	=	PUNCT
cana-3837	326	5	(	(	PUNCT
cana-3837	326	6	𝜏11	𝜏11	NOUN
cana-3837	326	7	𝜏12	𝜏12	X
cana-3837	326	8	𝜏13	𝜏13	PROPN
cana-3837	326	9	𝜏21	𝜏21	PROPN
cana-3837	326	10	𝜏22	𝜏22	PROPN
cana-3837	326	11	𝜏23	𝜏23	X
cana-3837	326	12	𝜏31	𝜏31	PROPN
cana-3837	326	13	𝜏32	𝜏32	PROPN
cana-3837	326	14	𝜏33	𝜏33	NOUN
cana-3837	326	15	)	)	PUNCT
cana-3837	326	16	and	and	CCONJ
cana-3837	326	17	ạ	ạ	NUM
cana-3837	326	18	×4	×4	NOUN
cana-3837	326	19	ḅ	ḅ	NOUN
cana-3837	326	20	=	=	PUNCT
cana-3837	326	21	(	(	PUNCT
cana-3837	326	22	𝜔11	𝜔11	PROPN
cana-3837	326	23	𝜔12	𝜔12	ADV
cana-3837	326	24	𝜔13	𝜔13	ADJ
cana-3837	326	25	𝜔21	𝜔21	NOUN
cana-3837	326	26	𝜔22	𝜔22	NOUN
cana-3837	326	27	𝜔23	𝜔23	NUM
cana-3837	326	28	𝜔31	𝜔31	NOUN
cana-3837	326	29	𝜔32	𝜔32	ADJ
cana-3837	326	30	𝜔33	𝜔33	NOUN
cana-3837	326	31	)	)	PUNCT
cana-3837	326	32	πα	πα	PROPN
cana-3837	326	33	,	,	PUNCT
cana-3837	326	34	β(ạ×4ḅ)=	β(ạ×4ḅ)=	NUM
cana-3837	326	35	(	(	PUNCT
cana-3837	326	36	[	[	X
cana-3837	326	37	𝜖11	𝜖11	NOUN
cana-3837	326	38	𝜃11	𝜃11	NOUN
cana-3837	326	39	𝜎11	𝜎11	PROPN
cana-3837	326	40	𝜋11	𝜋11	NOUN
cana-3837	326	41	]	]	PUNCT
cana-3837	327	1	[	[	X
cana-3837	327	2	𝜖12	𝜖12	NOUN
cana-3837	327	3	𝜃12	𝜃12	PROPN
cana-3837	327	4	𝜎12	𝜎12	NUM
cana-3837	327	5	𝜋12	𝜋12	NOUN
cana-3837	327	6	]	]	PUNCT
cana-3837	328	1	[	[	X
cana-3837	328	2	𝜖13	𝜖13	ADJ
cana-3837	328	3	𝜃13	𝜃13	X
cana-3837	328	4	𝜎13	𝜎13	ADJ
cana-3837	328	5	𝜋13	𝜋13	NOUN
cana-3837	328	6	]	]	PUNCT
cana-3837	329	1	[	[	X
cana-3837	329	2	𝜖21	𝜖21	ADJ
cana-3837	329	3	𝜃21	𝜃21	NOUN
cana-3837	329	4	𝜎21	𝜎21	NOUN
cana-3837	329	5	𝜋21	𝜋21	PROPN
cana-3837	329	6	]	]	PUNCT
cana-3837	330	1	[	[	X
cana-3837	330	2	𝜖22	𝜖22	NOUN
cana-3837	330	3	𝜃22	𝜃22	NOUN
cana-3837	330	4	𝜎22	𝜎22	PROPN
cana-3837	330	5	𝜋22	𝜋22	NOUN
cana-3837	330	6	]	]	PUNCT
cana-3837	331	1	[	[	X
cana-3837	331	2	𝜖23	𝜖23	PROPN
cana-3837	331	3	𝜃23	𝜃23	PROPN
cana-3837	331	4	𝜎23	𝜎23	PROPN
cana-3837	331	5	𝜋23	𝜋23	NOUN
cana-3837	331	6	]	]	PUNCT
cana-3837	332	1	[	[	X
cana-3837	332	2	𝜖31	𝜖31	NOUN
cana-3837	332	3	𝜃31	𝜃31	NUM
cana-3837	332	4	𝜎31	𝜎31	NOUN
cana-3837	332	5	𝜋31	𝜋31	NOUN
cana-3837	332	6	]	]	X
cana-3837	333	1	[	[	X
cana-3837	333	2	𝜖32	𝜖32	NOUN
cana-3837	333	3	𝜃32	𝜃32	PROPN
cana-3837	333	4	𝜎32	𝜎32	NOUN
cana-3837	333	5	𝜋32	𝜋32	NOUN
cana-3837	333	6	]	]	PUNCT
cana-3837	334	1	[	[	X
cana-3837	334	2	𝜖33	𝜖33	ADJ
cana-3837	334	3	𝜃33	𝜃33	NOUN
cana-3837	334	4	𝜎33	𝜎33	NOUN
cana-3837	334	5	𝜋33	𝜋33	NOUN
cana-3837	334	6	]	]	PUNCT
cana-3837	335	1	[	[	X
cana-3837	335	2	𝜖14	𝜖14	NOUN
cana-3837	335	3	𝜃14	𝜃14	VERB
cana-3837	335	4	𝜎14	𝜎14	NOUN
cana-3837	335	5	𝜋14	𝜋14	NOUN
cana-3837	335	6	]	]	PUNCT
cana-3837	336	1	[	[	X
cana-3837	336	2	𝜖24	𝜖24	NUM
cana-3837	336	3	𝜃24	𝜃24	NOUN
cana-3837	336	4	𝜎24	𝜎24	VERB
cana-3837	336	5	𝜋24	𝜋24	NOUN
cana-3837	336	6	]	]	PUNCT
cana-3837	337	1	[	[	X
cana-3837	337	2	𝜖34	𝜖34	NOUN
cana-3837	337	3	𝜃34	𝜃34	VERB
cana-3837	337	4	𝜎34	𝜎34	PROPN
cana-3837	337	5	𝜋34	𝜋34	PROPN
cana-3837	337	6	]	]	PUNCT
cana-3837	337	7	)	)	PUNCT
cana-3837	337	8	×4	×4	NOUN
cana-3837	337	9	(	(	PUNCT
cana-3837	337	10	[	[	X
cana-3837	337	11	11	11	X
cana-3837	337	12	𝜌11	𝜌11	ADJ
cana-3837	337	13			NOUN
cana-3837	337	14	11	11	NUM
cana-3837	337	15			NOUN
cana-3837	337	16	11	11	NUM
cana-3837	337	17	]	]	PUNCT
cana-3837	338	1	[	[	X
cana-3837	338	2	12	12	X
cana-3837	338	3	𝜌12	𝜌12	ADJ
cana-3837	338	4			NOUN
cana-3837	338	5	12	12	NUM
cana-3837	338	6			NOUN
cana-3837	338	7	12	12	NUM
cana-3837	338	8	]	]	PUNCT
cana-3837	339	1	[	[	X
cana-3837	339	2	13	13	VERB
cana-3837	339	3	𝜌13	𝜌13	ADJ
cana-3837	339	4			NOUN
cana-3837	339	5	13	13	NUM
cana-3837	339	6			NOUN
cana-3837	339	7	13	13	NUM
cana-3837	339	8	]	]	PUNCT
cana-3837	340	1	[	[	X
cana-3837	340	2	21	21	NOUN
cana-3837	340	3	𝜌21	𝜌21	NOUN
cana-3837	340	4			NOUN
cana-3837	340	5	21	21	NUM
cana-3837	340	6			NOUN
cana-3837	340	7	21	21	NUM
cana-3837	340	8	]	]	PUNCT
cana-3837	341	1	[	[	X
cana-3837	341	2	22	22	NOUN
cana-3837	341	3	𝜌22	𝜌22	NOUN
cana-3837	341	4			NOUN
cana-3837	341	5	22	22	NUM
cana-3837	341	6			NOUN
cana-3837	341	7	22	22	NUM
cana-3837	341	8	]	]	PUNCT
cana-3837	342	1	[	[	X
cana-3837	342	2	23	23	X
cana-3837	342	3	𝜌23	𝜌23	VERB
cana-3837	342	4			NOUN
cana-3837	342	5	23	23	NUM
cana-3837	342	6			NOUN
cana-3837	342	7	23	23	NUM
cana-3837	342	8	]	]	PUNCT
cana-3837	343	1	[	[	X
cana-3837	343	2	31	31	PRON
cana-3837	343	3	𝜌31	𝜌31	ADJ
cana-3837	343	4			NOUN
cana-3837	343	5	31	31	NUM
cana-3837	343	6			NOUN
cana-3837	343	7	31	31	NUM
cana-3837	343	8	]	]	PUNCT
cana-3837	344	1	[	[	X
cana-3837	344	2	32	32	X
cana-3837	344	3	𝜌32	𝜌32	NOUN
cana-3837	344	4			NOUN
cana-3837	344	5	32	32	NUM
cana-3837	344	6			NOUN
cana-3837	344	7	32	32	NUM
cana-3837	344	8	]	]	PUNCT
cana-3837	345	1	[	[	X
cana-3837	345	2	33	33	DET
cana-3837	345	3	𝜌33	𝜌33	NOUN
cana-3837	345	4			NOUN
cana-3837	345	5	33	33	NUM
cana-3837	345	6			NOUN
cana-3837	345	7	33	33	NUM
cana-3837	345	8	]	]	PUNCT
cana-3837	346	1	[	[	X
cana-3837	346	2	41	41	NUM
cana-3837	346	3	𝜌41	𝜌41	ADJ
cana-3837	346	4			NOUN
cana-3837	346	5	41	41	NUM
cana-3837	346	6			NOUN
cana-3837	346	7	41	41	NUM
cana-3837	346	8	]	]	PUNCT
cana-3837	347	1	[	[	X
cana-3837	347	2	42	42	NOUN
cana-3837	347	3	𝜌42	𝜌42	NUM
cana-3837	347	4			NOUN
cana-3837	347	5	42	42	NUM
cana-3837	347	6			NOUN
cana-3837	347	7	42	42	NUM
cana-3837	347	8	]	]	PUNCT
cana-3837	348	1	[	[	X
cana-3837	348	2	43	43	NOUN
cana-3837	348	3	𝜌43	𝜌43	NOUN
cana-3837	348	4			NOUN
cana-3837	348	5	43	43	NUM
cana-3837	348	6			NOUN
cana-3837	348	7	43	43	NUM
cana-3837	348	8	]	]	PUNCT
cana-3837	348	9	)	)	PUNCT
cana-3837	348	10	𝜏11	𝜏11	NOUN
cana-3837	348	11	=	=	PUNCT
cana-3837	349	1	[	[	X
cana-3837	349	2	min	min	X
cana-3837	349	3	(	(	PUNCT
cana-3837	349	4	min	min	PROPN
cana-3837	349	5	(	(	PUNCT
cana-3837	349	6	α	α	NOUN
cana-3837	349	7	,	,	PUNCT
cana-3837	349	8	𝜖11,11	𝜖11,11	PUNCT
cana-3837	349	9	)	)	PUNCT
cana-3837	349	10	)	)	PUNCT
cana-3837	349	11	,	,	PUNCT
cana-3837	349	12	min	min	PROPN
cana-3837	349	13	(	(	PUNCT
cana-3837	349	14	min	min	PROPN
cana-3837	349	15	(	(	PUNCT
cana-3837	349	16	α	α	NOUN
cana-3837	349	17	,	,	PUNCT
cana-3837	349	18	𝜃11	𝜃11	ADJ
cana-3837	349	19	,	,	PUNCT
cana-3837	349	20	𝜌11	𝜌11	NOUN
cana-3837	349	21	)	)	PUNCT
cana-3837	349	22	)	)	PUNCT
cana-3837	350	1	]	]	PUNCT
cana-3837	350	2	,	,	PUNCT
cana-3837	351	1	[	[	X
cana-3837	351	2	max	max	X
cana-3837	351	3	(	(	PUNCT
cana-3837	351	4	max	max	PROPN
cana-3837	351	5	(	(	PUNCT
cana-3837	351	6	β	β	X
cana-3837	351	7	,	,	PUNCT
cana-3837	351	8	𝜎11	𝜎11	NOUN
cana-3837	351	9	,	,	PUNCT
cana-3837	351	10	11	11	PROPN
cana-3837	351	11	)	)	PUNCT
cana-3837	351	12	)	)	PUNCT
cana-3837	351	13	,	,	PUNCT
cana-3837	351	14	max	max	PROPN
cana-3837	351	15	(	(	PUNCT
cana-3837	351	16	max	max	PROPN
cana-3837	351	17	(	(	PUNCT
cana-3837	351	18	β	β	X
cana-3837	351	19	,	,	PUNCT
cana-3837	351	20	𝜋11	𝜋11	NOUN
cana-3837	351	21	,	,	PUNCT
cana-3837	351	22	11	11	PROPN
cana-3837	351	23	)	)	PUNCT
cana-3837	351	24	)	)	PUNCT
cana-3837	351	25	]	]	PUNCT
cana-3837	352	1	+	+	PUNCT
cana-3837	352	2	[	[	X
cana-3837	352	3	min	min	X
cana-3837	352	4	(	(	PUNCT
cana-3837	352	5	min	min	X
cana-3837	352	6	(	(	PUNCT
cana-3837	352	7	α	α	NOUN
cana-3837	352	8	,	,	PUNCT
cana-3837	352	9	𝜖12,21	𝜖12,21	NUM
cana-3837	352	10	)	)	PUNCT
cana-3837	352	11	)	)	PUNCT
cana-3837	352	12	,	,	PUNCT
cana-3837	352	13	min	min	PROPN
cana-3837	352	14	(	(	PUNCT
cana-3837	352	15	min	min	PROPN
cana-3837	352	16	(	(	PUNCT
cana-3837	352	17	α	α	NOUN
cana-3837	352	18	,	,	PUNCT
cana-3837	352	19	𝜃12	𝜃12	ADJ
cana-3837	352	20	,	,	PUNCT
cana-3837	352	21	𝜌21	𝜌21	NOUN
cana-3837	352	22	)	)	PUNCT
cana-3837	352	23	)	)	PUNCT
cana-3837	353	1	]	]	PUNCT
cana-3837	353	2	,	,	PUNCT
cana-3837	354	1	[	[	X
cana-3837	354	2	max	max	X
cana-3837	354	3	(	(	PUNCT
cana-3837	354	4	max	max	PROPN
cana-3837	354	5	(	(	PUNCT
cana-3837	354	6	β	β	X
cana-3837	354	7	,	,	PUNCT
cana-3837	354	8	𝜎12	𝜎12	NUM
cana-3837	354	9	,	,	PUNCT
cana-3837	354	10	21	21	NOUN
cana-3837	354	11	)	)	PUNCT
cana-3837	354	12	)	)	PUNCT
cana-3837	354	13	,	,	PUNCT
cana-3837	354	14	max	max	PROPN
cana-3837	354	15	(	(	PUNCT
cana-3837	354	16	max	max	PROPN
cana-3837	354	17	(	(	PUNCT
cana-3837	354	18	β	β	X
cana-3837	354	19	,	,	PUNCT
cana-3837	354	20	𝜋12	𝜋12	NOUN
cana-3837	354	21	,	,	PUNCT
cana-3837	354	22	21	21	PROPN
cana-3837	354	23	)	)	PUNCT
cana-3837	354	24	)	)	PUNCT
cana-3837	354	25	]	]	PUNCT
cana-3837	355	1	+	+	PUNCT
cana-3837	355	2	[	[	X
cana-3837	355	3	min	min	X
cana-3837	355	4	(	(	PUNCT
cana-3837	355	5	min	min	X
cana-3837	355	6	(	(	PUNCT
cana-3837	355	7	α	α	NOUN
cana-3837	355	8	,	,	PUNCT
cana-3837	355	9	𝜖13,31	𝜖13,31	NOUN
cana-3837	355	10	)	)	PUNCT
cana-3837	355	11	)	)	PUNCT
cana-3837	355	12	,	,	PUNCT
cana-3837	355	13	min	min	PROPN
cana-3837	355	14	(	(	PUNCT
cana-3837	355	15	min	min	PROPN
cana-3837	355	16	(	(	PUNCT
cana-3837	355	17	α	α	NOUN
cana-3837	355	18	,	,	PUNCT
cana-3837	355	19	𝜃13	𝜃13	PROPN
cana-3837	355	20	,	,	PUNCT
cana-3837	355	21	𝜌31	𝜌31	NOUN
cana-3837	355	22	)	)	PUNCT
cana-3837	355	23	)	)	PUNCT
cana-3837	355	24	]	]	PUNCT
cana-3837	355	25	,	,	PUNCT
cana-3837	356	1	[	[	X
cana-3837	356	2	max	max	X
cana-3837	356	3	(	(	PUNCT
cana-3837	356	4	max	max	PROPN
cana-3837	356	5	(	(	PUNCT
cana-3837	356	6	β	β	X
cana-3837	356	7	,	,	PUNCT
cana-3837	356	8	𝜎13	𝜎13	ADJ
cana-3837	356	9	,	,	PUNCT
cana-3837	356	10	31	31	NOUN
cana-3837	356	11	)	)	PUNCT
cana-3837	356	12	)	)	PUNCT
cana-3837	356	13	,	,	PUNCT
cana-3837	356	14	max	max	PROPN
cana-3837	356	15	(	(	PUNCT
cana-3837	356	16	max	max	PROPN
cana-3837	356	17	(	(	PUNCT
cana-3837	356	18	β	β	X
cana-3837	356	19	,	,	PUNCT
cana-3837	356	20	𝜋13	𝜋13	ADJ
cana-3837	356	21	,	,	PUNCT
cana-3837	356	22	31	31	PROPN
cana-3837	356	23	)	)	PUNCT
cana-3837	356	24	)	)	PUNCT
cana-3837	356	25	]	]	PUNCT
cana-3837	357	1	+	+	PUNCT
cana-3837	357	2	[	[	X
cana-3837	357	3	min	min	X
cana-3837	357	4	(	(	PUNCT
cana-3837	357	5	min	min	X
cana-3837	357	6	(	(	PUNCT
cana-3837	357	7	α	α	NOUN
cana-3837	357	8	,	,	PUNCT
cana-3837	357	9	𝜖14,41	𝜖14,41	ADP
cana-3837	357	10	)	)	PUNCT
cana-3837	357	11	)	)	PUNCT
cana-3837	357	12	,	,	PUNCT
cana-3837	357	13	min	min	PROPN
cana-3837	357	14	(	(	PUNCT
cana-3837	357	15	min	min	PROPN
cana-3837	357	16	(	(	PUNCT
cana-3837	357	17	α	α	NOUN
cana-3837	357	18	,	,	PUNCT
cana-3837	357	19	𝜃14	𝜃14	ADJ
cana-3837	357	20	,	,	PUNCT
cana-3837	357	21	𝜌41	𝜌41	NUM
cana-3837	357	22	)	)	PUNCT
cana-3837	357	23	)	)	PUNCT
cana-3837	358	1	]	]	PUNCT
cana-3837	358	2	,	,	PUNCT
cana-3837	359	1	[	[	X
cana-3837	359	2	max	max	X
cana-3837	359	3	(	(	PUNCT
cana-3837	359	4	max	max	PROPN
cana-3837	359	5	(	(	PUNCT
cana-3837	359	6	β	β	PROPN
cana-3837	359	7	,	,	PUNCT
cana-3837	359	8	𝜎14	𝜎14	NOUN
cana-3837	359	9	,	,	PUNCT
cana-3837	359	10	41	41	NOUN
cana-3837	359	11	)	)	PUNCT
cana-3837	359	12	)	)	PUNCT
cana-3837	359	13	,	,	PUNCT
cana-3837	359	14	max	max	PROPN
cana-3837	359	15	(	(	PUNCT
cana-3837	359	16	max	max	PROPN
cana-3837	359	17	(	(	PUNCT
cana-3837	359	18	β	β	NOUN
cana-3837	359	19	,	,	PUNCT
cana-3837	359	20	𝜋14	𝜋14	NOUN
cana-3837	359	21	,	,	PUNCT
cana-3837	359	22	41	41	PROPN
cana-3837	359	23	)	)	PUNCT
cana-3837	359	24	)	)	PUNCT
cana-3837	359	25	]	]	PUNCT
cana-3837	359	26	.	.	PUNCT
cana-3837	360	1	similarly	similarly	ADV
cana-3837	360	2	,	,	PUNCT
cana-3837	360	3	we	we	PRON
cana-3837	360	4	can	can	AUX
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cana-3837	362	1	+	+	PUNCT
cana-3837	362	2	[	[	X
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cana-3837	362	6	(	(	PUNCT
cana-3837	362	7	α	α	NOUN
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cana-3837	364	7	α	α	NOUN
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cana-3837	367	10	.	.	PUNCT
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cana-3837	371	1	+	+	PUNCT
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cana-3837	398	54	(	(	PUNCT
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cana-3837	400	73	.	.	PUNCT
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cana-3837	405	11	4×3	4×3	NOUN
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cana-3837	410	4	β	β	X
cana-3837	410	5	,	,	PUNCT
cana-3837	410	6	𝐴	𝐴	PROPN
cana-3837	410	7	𝑈	𝑈	PROPN
cana-3837	410	8	,	,	PUNCT
cana-3837	410	9	𝐵	𝐵	PROPN
cana-3837	410	10	𝑈	𝑈	PROPN
cana-3837	410	11	)	)	PUNCT
cana-3837	410	12	]	]	PUNCT
cana-3837	410	13	)	)	PUNCT
cana-3837	410	14	]	]	PUNCT
cana-3837	410	15	and	and	CCONJ
cana-3837	410	16	ωα	ωα	ADP
cana-3837	410	17	,	,	PUNCT
cana-3837	410	18	β(ạ	β(ạ	NOUN
cana-3837	410	19	×5	×5	NOUN
cana-3837	410	20	ḅ	ḅ	NOUN
cana-3837	410	21	)	)	PUNCT
cana-3837	410	22	=	=	PUNCT
cana-3837	411	1	[	[	X
cana-3837	411	2	(	(	PUNCT
cana-3837	411	3	max	max	PROPN
cana-3837	411	4	[	[	X
cana-3837	411	5	min	min	X
cana-3837	411	6	(	(	PUNCT
cana-3837	411	7	𝛼	𝛼	NOUN
cana-3837	411	8	,	,	PUNCT
cana-3837	411	9	𝜇𝐴	𝜇𝐴	ADP
cana-3837	411	10	𝐿	𝐿	PROPN
cana-3837	411	11	,	,	PUNCT
cana-3837	411	12	𝜇𝑩	𝜇𝑩	PROPN
cana-3837	411	13	𝐿	𝐿	PROPN
cana-3837	411	14	)	)	PUNCT
cana-3837	411	15	]	]	PUNCT
cana-3837	411	16	,	,	PUNCT
cana-3837	411	17	max	max	PROPN
cana-3837	412	1	[	[	X
cana-3837	412	2	min	min	X
cana-3837	412	3	(	(	PUNCT
cana-3837	412	4	𝛼	𝛼	NOUN
cana-3837	412	5	,	,	PUNCT
cana-3837	412	6	𝜇𝐴	𝜇𝐴	ADP
cana-3837	412	7	𝑈	𝑈	PROPN
cana-3837	412	8	,	,	PUNCT
cana-3837	412	9	𝜇𝐵	𝜇𝐵	NOUN
cana-3837	412	10	𝑈	𝑈	NOUN
cana-3837	412	11	)	)	PUNCT
cana-3837	412	12	]	]	PUNCT
cana-3837	412	13	)	)	PUNCT
cana-3837	412	14	]	]	PUNCT
cana-3837	412	15	,	,	PUNCT
cana-3837	412	16	[	[	X
cana-3837	412	17	(	(	PUNCT
cana-3837	412	18	min	min	NOUN
cana-3837	412	19	[	[	X
cana-3837	412	20	max	max	X
cana-3837	412	21	(	(	PUNCT
cana-3837	412	22	β,𝐴	β,𝐴	PUNCT
cana-3837	412	23	𝐿	𝐿	PROPN
cana-3837	412	24	,	,	PUNCT
cana-3837	412	25	𝐵	𝐵	PROPN
cana-3837	412	26	𝐿	𝐿	PROPN
cana-3837	412	27	)	)	PUNCT
cana-3837	412	28	]	]	PUNCT
cana-3837	412	29	,	,	PUNCT
cana-3837	412	30	min	min	PROPN
cana-3837	413	1	[	[	X
cana-3837	413	2	max	max	X
cana-3837	413	3	(	(	PUNCT
cana-3837	413	4	β	β	X
cana-3837	413	5	,	,	PUNCT
cana-3837	413	6	𝐴	𝐴	PROPN
cana-3837	413	7	𝑈	𝑈	PROPN
cana-3837	413	8	,	,	PUNCT
cana-3837	413	9	𝐵	𝐵	PROPN
cana-3837	413	10	𝑈	𝑈	PROPN
cana-3837	413	11	)	)	PUNCT
cana-3837	413	12	]	]	PUNCT
cana-3837	413	13	)	)	PUNCT
cana-3837	413	14	]	]	PUNCT
cana-3837	413	15	.	.	PUNCT
cana-3837	414	1	ạ	ạ	X
cana-3837	414	2	×5	×5	NOUN
cana-3837	414	3	ḅ	ḅ	NOUN
cana-3837	414	4	=	=	PUNCT
cana-3837	414	5	(	(	PUNCT
cana-3837	414	6	𝜏11	𝜏11	NOUN
cana-3837	414	7	𝜏12	𝜏12	X
cana-3837	414	8	𝜏13	𝜏13	PROPN
cana-3837	414	9	𝜏21	𝜏21	PROPN
cana-3837	414	10	𝜏22	𝜏22	PROPN
cana-3837	414	11	𝜏23	𝜏23	X
cana-3837	414	12	𝜏31	𝜏31	PROPN
cana-3837	414	13	𝜏32	𝜏32	PROPN
cana-3837	414	14	𝜏33	𝜏33	NOUN
cana-3837	414	15	)	)	PUNCT
cana-3837	414	16	and	and	CCONJ
cana-3837	414	17	ạ	ạ	X
cana-3837	414	18	×5	×5	NOUN
cana-3837	414	19	ḅ	ḅ	NOUN
cana-3837	414	20	=	=	PUNCT
cana-3837	414	21	(	(	PUNCT
cana-3837	414	22	𝜔11	𝜔11	PROPN
cana-3837	414	23	𝜔12	𝜔12	ADV
cana-3837	414	24	𝜔13	𝜔13	ADJ
cana-3837	414	25	𝜔21	𝜔21	NOUN
cana-3837	414	26	𝜔22	𝜔22	NOUN
cana-3837	414	27	𝜔23	𝜔23	NUM
cana-3837	414	28	𝜔31	𝜔31	NOUN
cana-3837	414	29	𝜔32	𝜔32	ADJ
cana-3837	414	30	𝜔33	𝜔33	NOUN
cana-3837	414	31	)	)	PUNCT
cana-3837	414	32	communications	communication	NOUN
cana-3837	414	33	on	on	ADP
cana-3837	414	34	applied	apply	VERB
cana-3837	414	35	nonlinear	nonlinear	ADJ
cana-3837	414	36	analysis	analysis	NOUN
cana-3837	414	37	issn	issn	NOUN
cana-3837	414	38	:	:	PUNCT
cana-3837	414	39	1074	1074	NUM
cana-3837	414	40	-	-	PUNCT
cana-3837	414	41	133x	133x	NUM
cana-3837	414	42	vol	vol	NOUN
cana-3837	414	43	32	32	NUM
cana-3837	414	44	no	no	NOUN
cana-3837	414	45	.	.	PUNCT
cana-3837	415	1	9s	9s	NUM
cana-3837	415	2	(	(	PUNCT
cana-3837	415	3	2025	2025	NUM
cana-3837	415	4	)	)	PUNCT
cana-3837	415	5	60	60	NUM
cana-3837	415	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3837	415	7	πα	πα	PROPN
cana-3837	415	8	,	,	PUNCT
cana-3837	415	9	β(ạ×5ḅ)=	β(ạ×5ḅ)=	X
cana-3837	415	10	(	(	PUNCT
cana-3837	415	11	[	[	X
cana-3837	415	12	𝜖11	𝜖11	NOUN
cana-3837	415	13	𝜃11	𝜃11	NOUN
cana-3837	415	14	𝜎11	𝜎11	PROPN
cana-3837	415	15	𝜋11	𝜋11	NOUN
cana-3837	415	16	]	]	PUNCT
cana-3837	416	1	[	[	X
cana-3837	416	2	𝜖12	𝜖12	NOUN
cana-3837	416	3	𝜃12	𝜃12	PROPN
cana-3837	416	4	𝜎12	𝜎12	NUM
cana-3837	416	5	𝜋12	𝜋12	NOUN
cana-3837	416	6	]	]	PUNCT
cana-3837	417	1	[	[	X
cana-3837	417	2	𝜖13	𝜖13	ADJ
cana-3837	417	3	𝜃13	𝜃13	X
cana-3837	417	4	𝜎13	𝜎13	ADJ
cana-3837	417	5	𝜋13	𝜋13	NOUN
cana-3837	417	6	]	]	PUNCT
cana-3837	418	1	[	[	X
cana-3837	418	2	𝜖21	𝜖21	ADJ
cana-3837	418	3	𝜃21	𝜃21	NOUN
cana-3837	418	4	𝜎21	𝜎21	NOUN
cana-3837	418	5	𝜋21	𝜋21	PROPN
cana-3837	418	6	]	]	PUNCT
cana-3837	419	1	[	[	X
cana-3837	419	2	𝜖22	𝜖22	NOUN
cana-3837	419	3	𝜃22	𝜃22	NOUN
cana-3837	419	4	𝜎22	𝜎22	PROPN
cana-3837	419	5	𝜋22	𝜋22	NOUN
cana-3837	419	6	]	]	PUNCT
cana-3837	420	1	[	[	X
cana-3837	420	2	𝜖23	𝜖23	PROPN
cana-3837	420	3	𝜃23	𝜃23	PROPN
cana-3837	420	4	𝜎23	𝜎23	PROPN
cana-3837	420	5	𝜋23	𝜋23	NOUN
cana-3837	420	6	]	]	PUNCT
cana-3837	421	1	[	[	X
cana-3837	421	2	𝜖31	𝜖31	NOUN
cana-3837	421	3	𝜃31	𝜃31	NUM
cana-3837	421	4	𝜎31	𝜎31	NOUN
cana-3837	421	5	𝜋31	𝜋31	NOUN
cana-3837	421	6	]	]	X
cana-3837	422	1	[	[	X
cana-3837	422	2	𝜖32	𝜖32	NOUN
cana-3837	422	3	𝜃32	𝜃32	PROPN
cana-3837	422	4	𝜎32	𝜎32	NOUN
cana-3837	422	5	𝜋32	𝜋32	NOUN
cana-3837	422	6	]	]	PUNCT
cana-3837	423	1	[	[	X
cana-3837	423	2	𝜖33	𝜖33	ADJ
cana-3837	423	3	𝜃33	𝜃33	NOUN
cana-3837	423	4	𝜎33	𝜎33	NOUN
cana-3837	423	5	𝜋33	𝜋33	NOUN
cana-3837	423	6	]	]	PUNCT
cana-3837	424	1	[	[	X
cana-3837	424	2	𝜖14	𝜖14	NOUN
cana-3837	424	3	𝜃14	𝜃14	VERB
cana-3837	424	4	𝜎14	𝜎14	NOUN
cana-3837	424	5	𝜋14	𝜋14	NOUN
cana-3837	424	6	]	]	PUNCT
cana-3837	425	1	[	[	X
cana-3837	425	2	𝜖24	𝜖24	NUM
cana-3837	425	3	𝜃24	𝜃24	NOUN
cana-3837	425	4	𝜎24	𝜎24	VERB
cana-3837	425	5	𝜋24	𝜋24	NOUN
cana-3837	425	6	]	]	PUNCT
cana-3837	426	1	[	[	X
cana-3837	426	2	𝜖34	𝜖34	NOUN
cana-3837	426	3	𝜃34	𝜃34	VERB
cana-3837	426	4	𝜎34	𝜎34	PROPN
cana-3837	426	5	𝜋34	𝜋34	PROPN
cana-3837	426	6	]	]	PUNCT
cana-3837	426	7	)	)	PUNCT
cana-3837	426	8	×5	×5	NOUN
cana-3837	426	9	(	(	PUNCT
cana-3837	426	10	[	[	X
cana-3837	426	11	11	11	X
cana-3837	426	12	𝜌11	𝜌11	ADJ
cana-3837	426	13			NOUN
cana-3837	426	14	11	11	NUM
cana-3837	426	15			NOUN
cana-3837	426	16	11	11	NUM
cana-3837	426	17	]	]	PUNCT
cana-3837	427	1	[	[	X
cana-3837	427	2	12	12	X
cana-3837	427	3	𝜌12	𝜌12	ADJ
cana-3837	427	4			NOUN
cana-3837	427	5	12	12	NUM
cana-3837	427	6			NOUN
cana-3837	427	7	12	12	NUM
cana-3837	427	8	]	]	PUNCT
cana-3837	428	1	[	[	X
cana-3837	428	2	13	13	VERB
cana-3837	428	3	𝜌13	𝜌13	ADJ
cana-3837	428	4			NOUN
cana-3837	428	5	13	13	NUM
cana-3837	428	6			NOUN
cana-3837	428	7	13	13	NUM
cana-3837	428	8	]	]	PUNCT
cana-3837	429	1	[	[	X
cana-3837	429	2	21	21	NOUN
cana-3837	429	3	𝜌21	𝜌21	NOUN
cana-3837	429	4			NOUN
cana-3837	429	5	21	21	NUM
cana-3837	429	6			NOUN
cana-3837	429	7	21	21	NUM
cana-3837	429	8	]	]	PUNCT
cana-3837	430	1	[	[	X
cana-3837	430	2	22	22	NOUN
cana-3837	430	3	𝜌22	𝜌22	NOUN
cana-3837	430	4			NOUN
cana-3837	430	5	22	22	NUM
cana-3837	430	6			NOUN
cana-3837	430	7	22	22	NUM
cana-3837	430	8	]	]	PUNCT
cana-3837	431	1	[	[	X
cana-3837	431	2	23	23	X
cana-3837	431	3	𝜌23	𝜌23	VERB
cana-3837	431	4			NOUN
cana-3837	431	5	23	23	NUM
cana-3837	431	6			NOUN
cana-3837	431	7	23	23	NUM
cana-3837	431	8	]	]	PUNCT
cana-3837	432	1	[	[	X
cana-3837	432	2	31	31	PRON
cana-3837	432	3	𝜌31	𝜌31	ADJ
cana-3837	432	4			NOUN
cana-3837	432	5	31	31	NUM
cana-3837	432	6			NOUN
cana-3837	432	7	31	31	NUM
cana-3837	432	8	]	]	PUNCT
cana-3837	433	1	[	[	X
cana-3837	433	2	32	32	X
cana-3837	433	3	𝜌32	𝜌32	NOUN
cana-3837	433	4			NOUN
cana-3837	433	5	32	32	NUM
cana-3837	433	6			NOUN
cana-3837	433	7	32	32	NUM
cana-3837	433	8	]	]	PUNCT
cana-3837	434	1	[	[	X
cana-3837	434	2	33	33	DET
cana-3837	434	3	𝜌33	𝜌33	NOUN
cana-3837	434	4			NOUN
cana-3837	434	5	33	33	NUM
cana-3837	434	6			NOUN
cana-3837	434	7	33	33	NUM
cana-3837	434	8	]	]	PUNCT
cana-3837	435	1	[	[	X
cana-3837	435	2	41	41	NUM
cana-3837	435	3	𝜌41	𝜌41	ADJ
cana-3837	435	4			NOUN
cana-3837	435	5	41	41	NUM
cana-3837	435	6			NOUN
cana-3837	435	7	41	41	NUM
cana-3837	435	8	]	]	PUNCT
cana-3837	436	1	[	[	X
cana-3837	436	2	42	42	NOUN
cana-3837	436	3	𝜌42	𝜌42	NUM
cana-3837	436	4			NOUN
cana-3837	436	5	42	42	NUM
cana-3837	436	6			NOUN
cana-3837	436	7	42	42	NUM
cana-3837	436	8	]	]	PUNCT
cana-3837	437	1	[	[	X
cana-3837	437	2	43	43	NOUN
cana-3837	437	3	𝜌43	𝜌43	NOUN
cana-3837	437	4			NOUN
cana-3837	437	5	43	43	NUM
cana-3837	437	6			NOUN
cana-3837	437	7	43	43	NUM
cana-3837	437	8	]	]	PUNCT
cana-3837	437	9	)	)	PUNCT
cana-3837	437	10	𝜏11	𝜏11	NOUN
cana-3837	437	11	=	=	PUNCT
cana-3837	438	1	[	[	X
cana-3837	438	2	min	min	X
cana-3837	438	3	(	(	PUNCT
cana-3837	438	4	max	max	PROPN
cana-3837	438	5	(	(	PUNCT
cana-3837	438	6	α	α	NOUN
cana-3837	438	7	,	,	PUNCT
cana-3837	438	8	𝜖11,11	𝜖11,11	PUNCT
cana-3837	438	9	)	)	PUNCT
cana-3837	438	10	)	)	PUNCT
cana-3837	438	11	,	,	PUNCT
cana-3837	438	12	min	min	PROPN
cana-3837	438	13	(	(	PUNCT
cana-3837	438	14	max	max	PROPN
cana-3837	438	15	(	(	PUNCT
cana-3837	438	16	α	α	NOUN
cana-3837	438	17	,	,	PUNCT
cana-3837	438	18	𝜃11	𝜃11	ADJ
cana-3837	438	19	,	,	PUNCT
cana-3837	438	20	𝜌11	𝜌11	NOUN
cana-3837	438	21	)	)	PUNCT
cana-3837	438	22	)	)	PUNCT
cana-3837	439	1	]	]	PUNCT
cana-3837	439	2	,	,	PUNCT
cana-3837	440	1	[	[	X
cana-3837	440	2	max	max	X
cana-3837	440	3	(	(	PUNCT
cana-3837	440	4	min	min	PROPN
cana-3837	440	5	(	(	PUNCT
cana-3837	440	6	β	β	X
cana-3837	440	7	,	,	PUNCT
cana-3837	440	8	𝜎11	𝜎11	NOUN
cana-3837	440	9	,	,	PUNCT
cana-3837	440	10	11	11	PROPN
cana-3837	440	11	)	)	PUNCT
cana-3837	440	12	)	)	PUNCT
cana-3837	440	13	,	,	PUNCT
cana-3837	440	14	max	max	PROPN
cana-3837	440	15	(	(	PUNCT
cana-3837	440	16	min	min	PROPN
cana-3837	440	17	(	(	PUNCT
cana-3837	440	18	β	β	X
cana-3837	440	19	,	,	PUNCT
cana-3837	440	20	𝜋11	𝜋11	NOUN
cana-3837	440	21	,	,	PUNCT
cana-3837	440	22	11	11	PROPN
cana-3837	440	23	)	)	PUNCT
cana-3837	440	24	)	)	PUNCT
cana-3837	440	25	]	]	PUNCT
cana-3837	441	1	+	+	PUNCT
cana-3837	441	2	[	[	X
cana-3837	441	3	min	min	X
cana-3837	441	4	(	(	PUNCT
cana-3837	441	5	max	max	PROPN
cana-3837	441	6	(	(	PUNCT
cana-3837	441	7	α	α	NOUN
cana-3837	441	8	,	,	PUNCT
cana-3837	441	9	𝜖12,21	𝜖12,21	NUM
cana-3837	441	10	)	)	PUNCT
cana-3837	441	11	)	)	PUNCT
cana-3837	441	12	,	,	PUNCT
cana-3837	441	13	min	min	PROPN
cana-3837	441	14	(	(	PUNCT
cana-3837	441	15	max	max	PROPN
cana-3837	441	16	(	(	PUNCT
cana-3837	441	17	α	α	NOUN
cana-3837	441	18	,	,	PUNCT
cana-3837	441	19	𝜃12	𝜃12	ADJ
cana-3837	441	20	,	,	PUNCT
cana-3837	441	21	𝜌21	𝜌21	NOUN
cana-3837	441	22	)	)	PUNCT
cana-3837	441	23	)	)	PUNCT
cana-3837	441	24	]	]	PUNCT
cana-3837	441	25	,	,	PUNCT
cana-3837	442	1	[	[	X
cana-3837	442	2	max	max	X
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cana-3837	479	117	.	.	PUNCT
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cana-3837	480	28	valued	value	VERB
cana-3837	480	29	intuitionistic	intuitionistic	ADJ
cana-3837	480	30	fuzzy	fuzzy	ADJ
cana-3837	480	31	matrices	matrix	NOUN
cana-3837	480	32	.	.	PUNCT
cana-3837	481	1	conclusion	conclusion	NOUN
cana-3837	481	2	:	:	PUNCT
cana-3837	481	3	in	in	ADP
cana-3837	481	4	this	this	DET
cana-3837	481	5	article	article	NOUN
cana-3837	481	6	some	some	DET
cana-3837	481	7	cartesian	cartesian	ADJ
cana-3837	481	8	product	product	NOUN
cana-3837	481	9	of	of	ADP
cana-3837	481	10	intuitionistic	intuitionistic	ADJ
cana-3837	481	11	fuzzy	fuzzy	ADJ
cana-3837	481	12	set	set	NOUN
cana-3837	481	13	and	and	CCONJ
cana-3837	481	14	the	the	DET
cana-3837	481	15	versions	version	NOUN
cana-3837	481	16	of	of	ADP
cana-3837	481	17	cartesian	cartesian	ADJ
cana-3837	481	18	product	product	NOUN
cana-3837	481	19	over	over	ADP
cana-3837	481	20	interval	interval	NOUN
cana-3837	481	21	valued	value	VERB
cana-3837	481	22	intuitionistic	intuitionistic	ADJ
cana-3837	481	23	fuzzy	fuzzy	ADJ
cana-3837	481	24	matrices	matrix	NOUN
cana-3837	481	25	is	be	AUX
cana-3837	481	26	presented	present	VERB
cana-3837	481	27	in	in	ADP
cana-3837	481	28	this	this	DET
cana-3837	481	29	paper	paper	NOUN
cana-3837	481	30	.	.	PUNCT
cana-3837	482	1	and	and	CCONJ
cana-3837	482	2	some	some	DET
cana-3837	482	3	properties	property	NOUN
cana-3837	482	4	,	,	PUNCT
cana-3837	482	5	applications	application	NOUN
cana-3837	482	6	are	be	AUX
cana-3837	482	7	discussed	discuss	VERB
cana-3837	482	8	.	.	PUNCT
cana-3837	483	1	also	also	ADV
cana-3837	483	2	,	,	PUNCT
cana-3837	483	3	introduce	introduce	VERB
cana-3837	483	4	different	different	ADJ
cana-3837	483	5	types	type	NOUN
cana-3837	483	6	of	of	ADP
cana-3837	483	7	interval	interval	NOUN
cana-3837	483	8	valued	value	VERB
cana-3837	483	9	intuitionistic	intuitionistic	ADJ
cana-3837	483	10	fuzzy	fuzzy	ADJ
cana-3837	483	11	sets	set	NOUN
cana-3837	483	12	,	,	PUNCT
cana-3837	483	13	whether	whether	SCONJ
cana-3837	483	14	a	a	DET
cana-3837	483	15	membership	membership	NOUN
cana-3837	483	16	function	function	NOUN
cana-3837	483	17	or	or	CCONJ
cana-3837	483	18	a	a	DET
cana-3837	483	19	non	non	ADJ
cana-3837	483	20	-	-	ADJ
cana-3837	483	21	membership	membership	ADJ
cana-3837	483	22	function	function	NOUN
cana-3837	483	23	,	,	PUNCT
cana-3837	483	24	they	they	PRON
cana-3837	483	25	must	must	AUX
cana-3837	483	26	be	be	AUX
cana-3837	483	27	a	a	DET
cana-3837	483	28	specific	specific	ADJ
cana-3837	483	29	number	number	NOUN
cana-3837	483	30	or	or	CCONJ
cana-3837	483	31	value	value	NOUN
cana-3837	483	32	,	,	PUNCT
cana-3837	483	33	because	because	SCONJ
cana-3837	483	34	they	they	PRON
cana-3837	483	35	are	be	AUX
cana-3837	483	36	specific	specific	ADJ
cana-3837	483	37	in	in	ADP
cana-3837	483	38	intuitionistic	intuitionistic	ADJ
cana-3837	483	39	fuzzy	fuzzy	ADJ
cana-3837	483	40	sets	set	NOUN
cana-3837	483	41	.	.	PUNCT
cana-3837	484	1	also	also	ADV
cana-3837	484	2	,	,	PUNCT
cana-3837	484	3	we	we	PRON
cana-3837	484	4	derive	derive	VERB
cana-3837	484	5	the	the	DET
cana-3837	484	6	operations	operation	NOUN
cana-3837	484	7	cartesian	cartesian	ADJ
cana-3837	484	8	product	product	NOUN
cana-3837	484	9	of	of	ADP
cana-3837	484	10	interval	interval	NOUN
cana-3837	484	11	valued	value	VERB
cana-3837	484	12	intuitionistic	intuitionistic	ADJ
cana-3837	484	13	fuzzy	fuzzy	ADJ
cana-3837	484	14	matrices	matrix	NOUN
cana-3837	484	15	.	.	PUNCT
cana-3837	485	1	however	however	ADV
cana-3837	485	2	,	,	PUNCT
cana-3837	485	3	they	they	PRON
cana-3837	485	4	become	become	VERB
cana-3837	485	5	an	an	DET
cana-3837	485	6	interval	interval	NOUN
cana-3837	485	7	or	or	CCONJ
cana-3837	485	8	range	range	NOUN
cana-3837	485	9	,	,	PUNCT
cana-3837	485	10	because	because	SCONJ
cana-3837	485	11	of	of	ADP
cana-3837	485	12	the	the	DET
cana-3837	485	13	uncertainty	uncertainty	NOUN
cana-3837	485	14	in	in	ADP
cana-3837	485	15	interval	interval	NOUN
cana-3837	485	16	valued	value	VERB
cana-3837	485	17	intuitionistic	intuitionistic	ADJ
cana-3837	485	18	fuzzy	fuzzy	ADJ
cana-3837	485	19	matrices	matrix	NOUN
cana-3837	485	20	.	.	PUNCT
cana-3837	486	1	we	we	PRON
cana-3837	486	2	have	have	AUX
cana-3837	486	3	proved	prove	VERB
cana-3837	486	4	some	some	DET
cana-3837	486	5	type	type	NOUN
cana-3837	486	6	of	of	ADP
cana-3837	486	7	cartesian	cartesian	ADJ
cana-3837	486	8	product	product	NOUN
cana-3837	486	9	of	of	ADP
cana-3837	486	10	interval	interval	NOUN
cana-3837	486	11	valued	value	VERB
cana-3837	486	12	intuitionistic	intuitionistic	ADJ
cana-3837	486	13	fuzzy	fuzzy	ADJ
cana-3837	486	14	matrices	matrix	NOUN
cana-3837	486	15	,	,	PUNCT
cana-3837	486	16	which	which	PRON
cana-3837	486	17	makes	make	VERB
cana-3837	486	18	it	it	PRON
cana-3837	486	19	match	match	VERB
cana-3837	486	20	to	to	ADP
cana-3837	486	21	some	some	DET
cana-3837	486	22	cartesian	cartesian	ADJ
cana-3837	486	23	product	product	NOUN
cana-3837	486	24	of	of	ADP
cana-3837	486	25	interval	interval	NOUN
cana-3837	486	26	valued	value	VERB
cana-3837	486	27	intuitionistic	intuitionistic	ADJ
cana-3837	486	28	fuzzy	fuzzy	ADJ
cana-3837	486	29	sets	set	NOUN
cana-3837	486	30	.	.	PUNCT
cana-3837	487	1	we	we	PRON
cana-3837	487	2	should	should	AUX
cana-3837	487	3	try	try	VERB
cana-3837	487	4	prove	prove	VERB
cana-3837	487	5	other	other	ADJ
cana-3837	487	6	cartesian	cartesian	ADJ
cana-3837	487	7	products	product	NOUN
cana-3837	487	8	of	of	ADP
cana-3837	487	9	interval	interval	NOUN
cana-3837	487	10	valued	value	VERB
cana-3837	487	11	intuitionistic	intuitionistic	ADJ
cana-3837	487	12	fuzzy	fuzzy	ADJ
cana-3837	487	13	sets	set	NOUN
cana-3837	487	14	shall	shall	AUX
cana-3837	487	15	be	be	AUX
cana-3837	487	16	study	study	NOUN
cana-3837	487	17	in	in	ADP
cana-3837	487	18	the	the	DET
cana-3837	487	19	future	future	NOUN
cana-3837	487	20	.	.	PUNCT
cana-3837	488	1	acknowledgement	acknowledgement	NOUN
cana-3837	488	2	:	:	PUNCT
cana-3837	488	3	authors	author	NOUN
cana-3837	488	4	would	would	AUX
cana-3837	488	5	like	like	VERB
cana-3837	488	6	to	to	PART
cana-3837	488	7	thank	thank	VERB
cana-3837	488	8	to	to	ADP
cana-3837	488	9	the	the	DET
cana-3837	488	10	referees	referee	NOUN
cana-3837	488	11	for	for	ADP
cana-3837	488	12	their	their	PRON
cana-3837	488	13	valuable	valuable	ADJ
cana-3837	488	14	comments	comment	NOUN
cana-3837	488	15	to	to	PART
cana-3837	488	16	improve	improve	VERB
cana-3837	488	17	the	the	DET
cana-3837	488	18	presentation	presentation	NOUN
cana-3837	488	19	of	of	ADP
cana-3837	488	20	the	the	DET
cana-3837	488	21	paper	paper	NOUN
cana-3837	488	22	.	.	PUNCT
cana-3837	489	1	references	reference	NOUN
cana-3837	489	2	[	[	X
cana-3837	489	3	1	1	NUM
cana-3837	489	4	]	]	PUNCT
cana-3837	489	5	k.	k.	PROPN
cana-3837	489	6	atanassov	atanassov	PROPN
cana-3837	489	7	.	.	PUNCT
cana-3837	490	1	intuitionistic	intuitionistic	ADJ
cana-3837	490	2	fuzzy	fuzzy	ADJ
cana-3837	490	3	sets	set	NOUN
cana-3837	490	4	:	:	PUNCT
cana-3837	490	5	theory	theory	NOUN
cana-3837	490	6	and	and	CCONJ
cana-3837	490	7	applications	application	NOUN
cana-3837	490	8	(	(	PUNCT
cana-3837	490	9	studies	study	NOUN
cana-3837	490	10	in	in	ADP
cana-3837	490	11	fuzziness	fuzziness	NOUN
cana-3837	490	12	and	and	CCONJ
cana-3837	490	13	soft	soft	ADJ
cana-3837	490	14	computing	computing	NOUN
cana-3837	490	15	)	)	PUNCT
cana-3837	490	16	.	.	PUNCT
cana-3837	491	1	berlin	berlin	PROPN
cana-3837	491	2	heidelberg	heidelberg	PROPN
cana-3837	491	3	:	:	PUNCT
cana-3837	491	4	springer	springer	NOUN
cana-3837	491	5	-	-	PUNCT
cana-3837	491	6	verlag	verlag	PROPN
cana-3837	491	7	telos	telos	PROPN
cana-3837	491	8	,	,	PUNCT
cana-3837	491	9	1999	1999	NUM
cana-3837	491	10	.	.	PUNCT
cana-3837	492	1	[	[	X
cana-3837	492	2	2	2	NUM
cana-3837	492	3	]	]	PUNCT
cana-3837	492	4	k.	k.	PROPN
cana-3837	492	5	atanassov	atanassov	PROPN
cana-3837	492	6	.	.	PUNCT
cana-3837	493	1	intuitionistic	intuitionistic	ADJ
cana-3837	493	2	fuzzy	fuzzy	ADJ
cana-3837	493	3	sets	set	NOUN
cana-3837	493	4	.	.	PUNCT
cana-3837	494	1	fuzzy	fuzzy	ADJ
cana-3837	494	2	sets	set	NOUN
cana-3837	494	3	and	and	CCONJ
cana-3837	494	4	systems	system	NOUN
cana-3837	494	5	,	,	PUNCT
cana-3837	494	6	1986	1986	NUM
cana-3837	494	7	,	,	PUNCT
cana-3837	494	8	20(1	20(1	NUM
cana-3837	494	9	):	):	PUNCT
cana-3837	494	10	87	87	NUM
cana-3837	494	11	–	–	SYM
cana-3837	494	12	96	96	NUM
cana-3837	494	13	.	.	PUNCT
cana-3837	495	1	[	[	X
cana-3837	495	2	3	3	X
cana-3837	495	3	]	]	PUNCT
cana-3837	495	4	k.	k.	PROPN
cana-3837	495	5	atanassov	atanassov	PROPN
cana-3837	495	6	,	,	PUNCT
cana-3837	495	7	g.	g.	PROPN
cana-3837	495	8	gargov	gargov	PROPN
cana-3837	495	9	.	.	PUNCT
cana-3837	496	1	interval	interval	NOUN
cana-3837	496	2	valued	value	VERB
cana-3837	496	3	intuitionistic	intuitionistic	ADJ
cana-3837	496	4	fuzzy	fuzzy	ADJ
cana-3837	496	5	sets	set	NOUN
cana-3837	496	6	.	.	PUNCT
cana-3837	497	1	fuzzy	fuzzy	ADJ
cana-3837	497	2	sets	set	NOUN
cana-3837	497	3	and	and	CCONJ
cana-3837	497	4	systems	system	NOUN
cana-3837	497	5	,	,	PUNCT
cana-3837	497	6	1989	1989	NUM
cana-3837	497	7	,	,	PUNCT
cana-3837	497	8	31(3	31(3	NUM
cana-3837	497	9	):	):	PUNCT
cana-3837	497	10	343	343	NUM
cana-3837	497	11	–	–	PUNCT
cana-3837	497	12	349	349	NUM
cana-3837	497	13	.	.	PUNCT
cana-3837	498	1	[	[	X
cana-3837	498	2	4	4	X
cana-3837	498	3	]	]	PUNCT
cana-3837	498	4	d.	d.	PROPN
cana-3837	498	5	s.	s.	PROPN
cana-3837	498	6	zeng	zeng	PROPN
cana-3837	498	7	,	,	PUNCT
cana-3837	498	8	s.	s.	PROPN
cana-3837	498	9	l.	l.	PROPN
cana-3837	498	10	hu	hu	PROPN
cana-3837	498	11	.	.	PROPN
cana-3837	499	1	on	on	ADP
cana-3837	499	2	index	index	NOUN
cana-3837	499	3	of	of	ADP
cana-3837	499	4	interval	interval	NOUN
cana-3837	499	5	valued	value	VERB
cana-3837	499	6	intuitionistic	intuitionistic	ADJ
cana-3837	499	7	fuzzy	fuzzy	ADJ
cana-3837	499	8	sets	set	NOUN
cana-3837	499	9	.	.	PUNCT
cana-3837	500	1	journal	journal	PROPN
cana-3837	500	2	of	of	ADP
cana-3837	500	3	sichuan	sichuan	PROPN
cana-3837	500	4	normal	normal	PROPN
cana-3837	500	5	university	university	PROPN
cana-3837	500	6	(	(	PUNCT
cana-3837	500	7	natural	natural	ADJ
cana-3837	500	8	science	science	NOUN
cana-3837	500	9	)	)	PUNCT
cana-3837	500	10	,	,	PUNCT
cana-3837	500	11	2000	2000	NUM
cana-3837	500	12	,	,	PUNCT
cana-3837	500	13	23(5	23(5	NUM
cana-3837	500	14	):	):	PUNCT
cana-3837	500	15	476	476	NUM
cana-3837	500	16	–	–	PUNCT
cana-3837	500	17	478	478	NUM
cana-3837	500	18	.	.	PUNCT
cana-3837	501	1	[	[	X
cana-3837	501	2	5	5	X
cana-3837	501	3	]	]	PUNCT
cana-3837	501	4	t.	t.	PROPN
cana-3837	501	5	muthuraji	muthuraji	PROPN
cana-3837	501	6	,	,	PUNCT
cana-3837	501	7	s.	s.	PROPN
cana-3837	501	8	sriram	sriram	PROPN
cana-3837	501	9	,	,	PUNCT
cana-3837	501	10	p.	p.	PROPN
cana-3837	501	11	murugadas	murugadas	PROPN
cana-3837	501	12	.	.	PUNCT
cana-3837	502	1	decomposition	decomposition	NOUN
cana-3837	502	2	of	of	ADP
cana-3837	502	3	intuitionistic	intuitionistic	ADJ
cana-3837	502	4	fuzzy	fuzzy	ADJ
cana-3837	502	5	matrices	matrix	NOUN
cana-3837	502	6	.	.	PUNCT
cana-3837	503	1	fuzzy	fuzzy	ADJ
cana-3837	503	2	information	information	NOUN
cana-3837	503	3	and	and	CCONJ
cana-3837	503	4	engineering	engineering	NOUN
cana-3837	503	5	(	(	PUNCT
cana-3837	503	6	2016	2016	NUM
cana-3837	503	7	)	)	PUNCT
cana-3837	503	8	8	8	NUM
cana-3837	503	9	:	:	PUNCT
cana-3837	503	10	345	345	NUM
cana-3837	503	11	-	-	SYM
cana-3837	503	12	354	354	NUM
cana-3837	504	1	[	[	X
cana-3837	504	2	6	6	NUM
cana-3837	504	3	]	]	PUNCT
cana-3837	504	4	x.	x.	PROPN
cana-3837	504	5	h.	h.	PROPN
cana-3837	504	6	yuan	yuan	PROPN
cana-3837	504	7	,	,	PUNCT
cana-3837	504	8	h.	h.	PROPN
cana-3837	504	9	x.	x.	PROPN
cana-3837	504	10	li	li	PROPN
cana-3837	504	11	.	.	PROPN
cana-3837	504	12	cut	cut	PROPN
cana-3837	504	13	sets	set	NOUN
cana-3837	504	14	on	on	ADP
cana-3837	504	15	interval	interval	NOUN
cana-3837	504	16	-	-	PUNCT
cana-3837	504	17	valued	value	VERB
cana-3837	504	18	intuitionistic	intuitionistic	ADJ
cana-3837	504	19	fuzzy	fuzzy	ADJ
cana-3837	504	20	sets	set	NOUN
cana-3837	504	21	.	.	PUNCT
cana-3837	505	1	proc	proc	NOUN
cana-3837	505	2	.	.	PUNCT
cana-3837	506	1	of	of	ADP
cana-3837	506	2	the	the	DET
cana-3837	506	3	6th	6th	ADJ
cana-3837	506	4	ieee	ieee	NOUN
cana-3837	506	5	international	international	ADJ
cana-3837	506	6	conference	conference	NOUN
cana-3837	506	7	on	on	ADP
cana-3837	506	8	fuzzy	fuzzy	ADJ
cana-3837	506	9	systems	system	NOUN
cana-3837	506	10	and	and	CCONJ
cana-3837	506	11	knowledge	knowledge	NOUN
cana-3837	506	12	discovery	discovery	NOUN
cana-3837	506	13	,	,	PUNCT
cana-3837	506	14	2009	2009	NUM
cana-3837	506	15	,	,	PUNCT
cana-3837	506	16	6	6	NUM
cana-3837	506	17	:	:	SYM
cana-3837	506	18	167	167	NUM
cana-3837	506	19	–	–	PUNCT
cana-3837	506	20	171	171	NUM
cana-3837	506	21	.	.	PUNCT
cana-3837	507	1	[	[	X
cana-3837	507	2	7	7	X
cana-3837	507	3	]	]	X
cana-3837	507	4	annie	annie	X
cana-3837	507	5	varghese1	varghese1	PROPN
cana-3837	507	6	.	.	PUNCT
cana-3837	508	1	more	more	ADJ
cana-3837	508	2	on	on	ADP
cana-3837	508	3	cartesian	cartesian	ADJ
cana-3837	508	4	products	product	NOUN
cana-3837	508	5	over	over	ADP
cana-3837	508	6	intuitionistic	intuitionistic	ADJ
cana-3837	508	7	fuzzy	fuzzy	ADJ
cana-3837	508	8	sets	set	NOUN
cana-3837	508	9	.	.	PUNCT
cana-3837	509	1	international	international	ADJ
cana-3837	509	2	mathematical	mathematical	PROPN
cana-3837	509	3	forum	forum	PROPN
cana-3837	509	4	,	,	PUNCT
cana-3837	509	5	vol	vol	NOUN
cana-3837	509	6	.	.	PROPN
cana-3837	509	7	7	7	NUM
cana-3837	509	8	,	,	PUNCT
cana-3837	509	9	2012	2012	NUM
cana-3837	509	10	,	,	PUNCT
cana-3837	509	11	no	no	INTJ
cana-3837	509	12	.	.	NOUN
cana-3837	509	13	23	23	NUM
cana-3837	509	14	,	,	PUNCT
cana-3837	509	15	1129	1129	NUM
cana-3837	509	16	–	–	PUNCT
cana-3837	509	17	1133	1133	NUM
cana-3837	509	18	.	.	PUNCT
cana-3837	510	1	communications	communication	NOUN
cana-3837	510	2	on	on	ADP
cana-3837	510	3	applied	apply	VERB
cana-3837	510	4	nonlinear	nonlinear	ADJ
cana-3837	510	5	analysis	analysis	NOUN
cana-3837	510	6	issn	issn	NOUN
cana-3837	510	7	:	:	PUNCT
cana-3837	510	8	1074	1074	NUM
cana-3837	510	9	-	-	PUNCT
cana-3837	510	10	133x	133x	NUM
cana-3837	510	11	vol	vol	NOUN
cana-3837	510	12	32	32	NUM
cana-3837	510	13	no	no	NOUN
cana-3837	510	14	.	.	PUNCT
cana-3837	511	1	9s	9s	NUM
cana-3837	511	2	(	(	PUNCT
cana-3837	511	3	2025	2025	NUM
cana-3837	511	4	)	)	PUNCT
cana-3837	511	5	62	62	NUM
cana-3837	511	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3837	512	1	[	[	X
cana-3837	512	2	8	8	NUM
cana-3837	512	3	]	]	X
cana-3837	512	4	r.	r.	PROPN
cana-3837	512	5	r.	r.	PROPN
cana-3837	512	6	yager	yager	PROPN
cana-3837	512	7	.	.	PUNCT
cana-3837	513	1	some	some	DET
cana-3837	513	2	aspects	aspect	NOUN
cana-3837	513	3	of	of	ADP
cana-3837	513	4	intuitionistic	intuitionistic	ADJ
cana-3837	513	5	fuzzy	fuzzy	ADJ
cana-3837	513	6	sets	set	NOUN
cana-3837	513	7	.	.	PUNCT
cana-3837	514	1	fuzzy	fuzzy	ADJ
cana-3837	514	2	optimization	optimization	NOUN
cana-3837	514	3	and	and	CCONJ
cana-3837	514	4	decision	decision	NOUN
cana-3837	514	5	making	making	NOUN
cana-3837	514	6	,	,	PUNCT
cana-3837	514	7	2009	2009	NUM
cana-3837	514	8	,	,	PUNCT
cana-3837	514	9	8(1	8(1	NOUN
cana-3837	514	10	):	):	PUNCT
cana-3837	514	11	67	67	NUM
cana-3837	514	12	–	–	SYM
cana-3837	514	13	90	90	NUM
cana-3837	514	14	.	.	PUNCT
cana-3837	515	1	[	[	X
cana-3837	515	2	9	9	NUM
cana-3837	515	3	]	]	X
cana-3837	515	4	b.	b.	PROPN
cana-3837	515	5	chetia	chetia	PROPN
cana-3837	515	6	and	and	CCONJ
cana-3837	515	7	p.	p.	PROPN
cana-3837	515	8	k.	k.	PUNCT
cana-3837	516	1	das	das	PROPN
cana-3837	516	2	.	.	PUNCT
cana-3837	517	1	some	some	DET
cana-3837	517	2	results	result	NOUN
cana-3837	517	3	of	of	ADP
cana-3837	517	4	intuitionistic	intuitionistic	ADJ
cana-3837	517	5	fuzzy	fuzzy	ADJ
cana-3837	517	6	soft	soft	ADJ
cana-3837	517	7	matrix	matrix	NOUN
cana-3837	517	8	theory	theory	NOUN
cana-3837	517	9	.	.	PUNCT
cana-3837	518	1	advances	advance	NOUN
cana-3837	518	2	in	in	ADP
cana-3837	518	3	applied	apply	VERB
cana-3837	518	4	science	science	NOUN
cana-3837	518	5	research	research	NOUN
cana-3837	518	6	,	,	PUNCT
cana-3837	518	7	2012	2012	NUM
cana-3837	518	8	,	,	PUNCT
cana-3837	518	9	3	3	NUM
cana-3837	518	10	(	(	PUNCT
cana-3837	518	11	1):412	1):412	NUM
cana-3837	518	12	-	-	SYM
cana-3837	518	13	423	423	NUM
cana-3837	518	14	.	.	PUNCT
cana-3837	519	1	[	[	X
cana-3837	519	2	10	10	NUM
cana-3837	519	3	]	]	PUNCT
cana-3837	519	4	susanta	susanta	NOUN
cana-3837	519	5	kumar	kumar	PROPN
cana-3837	519	6	khan	khan	PROPN
cana-3837	519	7	and	and	CCONJ
cana-3837	519	8	madhumangal	madhumangal	ADJ
cana-3837	519	9	pal	pal	NOUN
cana-3837	519	10	.	.	PUNCT
cana-3837	520	1	interval	interval	NOUN
cana-3837	520	2	-	-	PUNCT
cana-3837	520	3	valued	value	VERB
cana-3837	520	4	intuitionistic	intuitionistic	ADJ
cana-3837	520	5	fuzzy	fuzzy	ADJ
cana-3837	520	6	matrices	matrix	NOUN
cana-3837	520	7	.	.	PUNCT
cana-3837	521	1	arxiv:1404.6949v1[cs.dm	arxiv:1404.6949v1[cs.dm	NOUN
cana-3837	521	2	]	]	PUNCT
cana-3837	521	3	28	28	NUM
cana-3837	521	4	apr	apr	NOUN
cana-3837	521	5	2014	2014	NUM
cana-3837	521	6	.	.	PUNCT
cana-3837	522	1	[	[	X
cana-3837	522	2	11	11	NUM
cana-3837	522	3	]	]	PUNCT
cana-3837	522	4	q.	q.	PROPN
cana-3837	522	5	s.	s.	PROPN
cana-3837	522	6	zhang	zhang	PROPN
cana-3837	522	7	,	,	PUNCT
cana-3837	522	8	h.	h.	PROPN
cana-3837	522	9	x.	x.	PROPN
cana-3837	522	10	yao	yao	PROPN
cana-3837	522	11	,	,	PUNCT
cana-3837	522	12	z.	z.	PROPN
cana-3837	522	13	h.	h.	PROPN
cana-3837	522	14	zhang	zhang	PROPN
cana-3837	522	15	.	.	PUNCT
cana-3837	523	1	some	some	DET
cana-3837	523	2	similarity	similarity	NOUN
cana-3837	523	3	measures	measure	NOUN
cana-3837	523	4	of	of	ADP
cana-3837	523	5	interval	interval	NOUN
cana-3837	523	6	-	-	PUNCT
cana-3837	523	7	valued	value	VERB
cana-3837	523	8	intuitionistic	intuitionistic	ADJ
cana-3837	523	9	fuzzy	fuzzy	ADJ
cana-3837	523	10	sets	set	NOUN
cana-3837	523	11	and	and	CCONJ
cana-3837	523	12	application	application	NOUN
cana-3837	523	13	to	to	ADP
cana-3837	523	14	pattern	pattern	NOUN
cana-3837	523	15	recognition	recognition	NOUN
cana-3837	523	16	.	.	PUNCT
cana-3837	524	1	international	international	ADJ
cana-3837	524	2	journal	journal	PROPN
cana-3837	524	3	of	of	ADP
cana-3837	524	4	applied	apply	VERB
cana-3837	524	5	mechanics	mechanic	NOUN
cana-3837	524	6	and	and	CCONJ
cana-3837	524	7	materials	material	NOUN
cana-3837	524	8	,	,	PUNCT
cana-3837	524	9	2010	2010	NUM
cana-3837	524	10	,	,	PUNCT
cana-3837	524	11	44	44	NUM
cana-3837	524	12	–	–	PUNCT
cana-3837	524	13	47(5	47(5	NOUN
cana-3837	524	14	):	):	PUNCT
cana-3837	524	15	495	495	NUM
cana-3837	524	16	–	–	PUNCT
cana-3837	524	17	500	500	NUM
cana-3837	524	18	.	.	PUNCT
cana-3837	525	1	[	[	X
cana-3837	525	2	12	12	NUM
cana-3837	525	3	]	]	X
cana-3837	525	4	jian	jian	PROPN
cana-3837	525	5	-	-	PUNCT
cana-3837	525	6	qiang	qiang	PROPN
cana-3837	525	7	wang	wang	PROPN
cana-3837	525	8	,	,	PUNCT
cana-3837	525	9	rong	rong	PROPN
cana-3837	525	10	-	-	PUNCT
cana-3837	525	11	rong	rong	PROPN
cana-3837	525	12	nie	nie	PROPN
cana-3837	525	13	,	,	PUNCT
cana-3837	525	14	hong	hong	PROPN
cana-3837	525	15	-	-	PUNCT
cana-3837	525	16	yu	yu	PROPN
cana-3837	525	17	zhang	zhang	PROPN
cana-3837	525	18	,	,	PUNCT
cana-3837	525	19	xiao	xiao	PROPN
cana-3837	525	20	-	-	PUNCT
cana-3837	525	21	hong	hong	PROPN
cana-3837	525	22	chen	chen	PROPN
cana-3837	525	23	.	.	PUNCT
cana-3837	526	1	intuitionistic	intuitionistic	ADJ
cana-3837	526	2	fuzzy	fuzzy	ADJ
cana-3837	526	3	multi	multi	ADJ
cana-3837	526	4	-	-	ADJ
cana-3837	526	5	criteria	criterion	NOUN
cana-3837	526	6	decisionmaking	decisionmake	VERB
cana-3837	526	7	method	method	NOUN
cana-3837	526	8	based	base	VERB
cana-3837	526	9	on	on	ADP
cana-3837	526	10	evidential	evidential	ADJ
cana-3837	526	11	reasoning	reasoning	NOUN
cana-3837	526	12	.	.	PUNCT
cana-3837	527	1	applied	apply	VERB
cana-3837	527	2	soft	soft	ADJ
cana-3837	527	3	computing	computing	NOUN
cana-3837	527	4	13(2013	13(2013	NUM
cana-3837	527	5	)	)	PUNCT
cana-3837	527	6	1823	1823	NUM
cana-3837	527	7	-	-	SYM
cana-3837	527	8	1831	1831	NUM
cana-3837	527	9	.	.	PUNCT
cana-3837	528	1	[	[	X
cana-3837	528	2	13	13	NUM
cana-3837	528	3	]	]	X
cana-3837	528	4	g.	g.	PROPN
cana-3837	528	5	w.	w.	PROPN
cana-3837	528	6	wei	wei	PROPN
cana-3837	528	7	,	,	PUNCT
cana-3837	528	8	x.	x.	PROPN
cana-3837	528	9	f.	f.	PROPN
cana-3837	528	10	zhao	zhao	PROPN
cana-3837	528	11	.	.	PUNCT
cana-3837	529	1	some	some	PRON
cana-3837	529	2	induced	induced	ADJ
cana-3837	529	3	correlated	correlate	VERB
cana-3837	529	4	aggregating	aggregate	VERB
cana-3837	529	5	operators	operator	NOUN
cana-3837	529	6	with	with	ADP
cana-3837	529	7	intuitionistic	intuitionistic	ADJ
cana-3837	529	8	fuzzy	fuzzy	ADJ
cana-3837	529	9	information	information	NOUN
cana-3837	529	10	and	and	CCONJ
cana-3837	529	11	their	their	PRON
cana-3837	529	12	application	application	NOUN
cana-3837	529	13	to	to	ADP
cana-3837	529	14	multiple	multiple	ADJ
cana-3837	529	15	attribute	attribute	NOUN
cana-3837	529	16	group	group	NOUN
cana-3837	529	17	decision	decision	NOUN
cana-3837	529	18	making	making	NOUN
cana-3837	529	19	.	.	PUNCT
cana-3837	530	1	expert	expert	NOUN
cana-3837	530	2	systems	system	NOUN
cana-3837	530	3	with	with	ADP
cana-3837	530	4	applications	application	NOUN
cana-3837	530	5	,	,	PUNCT
cana-3837	530	6	2012	2012	NUM
cana-3837	530	7	,	,	PUNCT
cana-3837	530	8	39(2	39(2	NUM
cana-3837	530	9	):	):	PUNCT
cana-3837	530	10	2026	2026	NUM
cana-3837	530	11	–	–	PUNCT
cana-3837	530	12	2034	2034	NUM
cana-3837	530	13	.	.	PUNCT
cana-3837	531	1	[	[	X
cana-3837	531	2	14	14	NUM
cana-3837	531	3	]	]	PUNCT
cana-3837	531	4	z.	z.	PROPN
cana-3837	531	5	s.	s.	PROPN
cana-3837	531	6	xu	xu	PROPN
cana-3837	531	7	,	,	PUNCT
cana-3837	531	8	r.	r.	PROPN
cana-3837	531	9	r.	r.	PROPN
cana-3837	531	10	yager	yager	PROPN
cana-3837	531	11	.	.	PUNCT
cana-3837	532	1	intuitionistic	intuitionistic	ADJ
cana-3837	532	2	and	and	CCONJ
cana-3837	532	3	interval	interval	NOUN
cana-3837	532	4	-	-	PUNCT
cana-3837	532	5	valued	value	VERB
cana-3837	532	6	intuitionistic	intuitionistic	ADJ
cana-3837	532	7	fuzzy	fuzzy	ADJ
cana-3837	532	8	preference	preference	NOUN
cana-3837	532	9	relations	relation	NOUN
cana-3837	532	10	and	and	CCONJ
cana-3837	532	11	their	their	PRON
cana-3837	532	12	measures	measure	NOUN
cana-3837	532	13	of	of	ADP
cana-3837	532	14	similarity	similarity	NOUN
cana-3837	532	15	for	for	ADP
cana-3837	532	16	the	the	DET
cana-3837	532	17	evaluation	evaluation	NOUN
cana-3837	532	18	of	of	ADP
cana-3837	532	19	agreement	agreement	NOUN
cana-3837	532	20	within	within	ADP
cana-3837	532	21	a	a	DET
cana-3837	532	22	group	group	NOUN
cana-3837	532	23	.	.	PUNCT
cana-3837	533	1	fuzzy	fuzzy	ADJ
cana-3837	533	2	optimization	optimization	NOUN
cana-3837	533	3	and	and	CCONJ
cana-3837	533	4	decision	decision	NOUN
cana-3837	533	5	making	making	NOUN
cana-3837	533	6	,	,	PUNCT
cana-3837	533	7	2009	2009	NUM
cana-3837	533	8	,	,	PUNCT
cana-3837	533	9	8(2	8(2	NUM
cana-3837	533	10	):	):	PUNCT
cana-3837	533	11	123	123	NUM
cana-3837	533	12	–	–	SYM
cana-3837	533	13	139	139	NUM
cana-3837	533	14	.	.	PUNCT
cana-3837	534	1	[	[	X
cana-3837	534	2	15	15	NUM
cana-3837	534	3	]	]	X
cana-3837	534	4	d.	d.	PROPN
cana-3837	534	5	f.	f.	PROPN
cana-3837	534	6	li	li	PROPN
cana-3837	534	7	.	.	PROPN
cana-3837	534	8	topsis	topsis	NOUN
cana-3837	534	9	-	-	PUNCT
cana-3837	534	10	based	base	VERB
cana-3837	534	11	nonlinear	nonlinear	ADJ
cana-3837	534	12	-	-	PUNCT
cana-3837	534	13	programming	programming	ADJ
cana-3837	534	14	methodology	methodology	NOUN
cana-3837	534	15	for	for	ADP
cana-3837	534	16	multiattribute	multiattribute	NOUN
cana-3837	534	17	decision	decision	NOUN
cana-3837	534	18	making	make	VERB
cana-3837	534	19	with	with	ADP
cana-3837	534	20	interval	interval	NOUN
cana-3837	534	21	-	-	PUNCT
cana-3837	534	22	valued	value	VERB
cana-3837	534	23	intuitionistic	intuitionistic	ADJ
cana-3837	534	24	fuzzy	fuzzy	ADJ
cana-3837	534	25	sets	set	NOUN
cana-3837	534	26	.	.	PUNCT
cana-3837	535	1	ieee	ieee	PROPN
cana-3837	535	2	trans	trans	PROPN
cana-3837	535	3	.	.	PUNCT
cana-3837	536	1	on	on	ADP
cana-3837	536	2	fuzzy	fuzzy	ADJ
cana-3837	536	3	systems	system	NOUN
cana-3837	536	4	,	,	PUNCT
cana-3837	536	5	2010	2010	NUM
cana-3837	536	6	,	,	PUNCT
cana-3837	536	7	18(2	18(2	NUM
cana-3837	536	8	):	):	PUNCT
cana-3837	536	9	299	299	NUM
cana-3837	536	10	–	–	PUNCT
cana-3837	536	11	311	311	NUM
cana-3837	536	12	.	.	PUNCT
cana-3837	537	1	[	[	X
cana-3837	537	2	16	16	NUM
cana-3837	537	3	]	]	X
cana-3837	537	4	d.	d.	PROPN
cana-3837	537	5	f.	f.	PROPN
cana-3837	537	6	li	li	PROPN
cana-3837	537	7	.	.	PROPN
cana-3837	537	8	mathematical	mathematical	ADJ
cana-3837	537	9	-	-	PUNCT
cana-3837	537	10	programming	programming	NOUN
cana-3837	537	11	approach	approach	NOUN
cana-3837	537	12	to	to	ADP
cana-3837	537	13	matrix	matrix	NOUN
cana-3837	537	14	games	game	NOUN
cana-3837	537	15	with	with	ADP
cana-3837	537	16	payoffs	payoff	NOUN
cana-3837	537	17	represented	represent	VERB
cana-3837	537	18	by	by	ADP
cana-3837	537	19	atanassov	atanassov	PROPN
cana-3837	537	20	’s	’s	PART
cana-3837	537	21	intervalvalued	intervalvalue	VERB
cana-3837	537	22	intuitionistic	intuitionistic	ADJ
cana-3837	537	23	fuzzy	fuzzy	ADJ
cana-3837	537	24	sets	set	NOUN
cana-3837	537	25	.	.	PUNCT
cana-3837	538	1	ieee	ieee	PROPN
cana-3837	538	2	trans	trans	PROPN
cana-3837	538	3	.	.	PUNCT
cana-3837	539	1	on	on	ADP
cana-3837	539	2	fuzzy	fuzzy	ADJ
cana-3837	539	3	systems	system	NOUN
cana-3837	539	4	,	,	PUNCT
cana-3837	539	5	2010	2010	NUM
cana-3837	539	6	,	,	PUNCT
cana-3837	539	7	18(6):1112	18(6):1112	PROPN
cana-3837	539	8	–	–	PUNCT
cana-3837	539	9	1128	1128	NUM
cana-3837	539	10	.	.	PUNCT
cana-3837	540	1	[	[	X
cana-3837	540	2	17	17	NUM
cana-3837	540	3	]	]	X
cana-3837	540	4	h.	h.	NOUN
cana-3837	540	5	bustince	bustince	PROPN
cana-3837	540	6	,	,	PUNCT
cana-3837	540	7	e.	e.	PROPN
cana-3837	540	8	barrenechea	barrenechea	PROPN
cana-3837	540	9	,	,	PUNCT
cana-3837	540	10	m.	m.	PROPN
cana-3837	540	11	pagola	pagola	PROPN
cana-3837	540	12	,	,	PUNCT
cana-3837	540	13	j.	j.	PROPN
cana-3837	540	14	fernandez	fernandez	PROPN
cana-3837	540	15	.	.	PUNCT
cana-3837	541	1	interval	interval	NOUN
cana-3837	541	2	-	-	PUNCT
cana-3837	541	3	valued	value	VERB
cana-3837	541	4	fuzzy	fuzzy	ADJ
cana-3837	541	5	sets	set	NOUN
cana-3837	541	6	constructed	construct	VERB
cana-3837	541	7	from	from	ADP
cana-3837	541	8	matrices	matrix	NOUN
cana-3837	541	9	:	:	PUNCT
cana-3837	541	10	application	application	NOUN
cana-3837	541	11	to	to	PART
cana-3837	541	12	edge	edge	VERB
cana-3837	541	13	detection	detection	NOUN
cana-3837	541	14	.	.	PUNCT
cana-3837	542	1	fuzzy	fuzzy	ADJ
cana-3837	542	2	sets	set	NOUN
cana-3837	542	3	and	and	CCONJ
cana-3837	542	4	systems	system	NOUN
cana-3837	542	5	160	160	NUM
cana-3837	542	6	(	(	PUNCT
cana-3837	542	7	2009	2009	NUM
cana-3837	542	8	)	)	PUNCT
cana-3837	542	9	1819–1840	1819–1840	NUM
cana-3837	542	10	.	.	PUNCT
cana-3837	543	1	[	[	X
cana-3837	543	2	18	18	NUM
cana-3837	543	3	]	]	X
cana-3837	543	4	zhang	zhang	PROPN
cana-3837	543	5	zhenhua	zhenhua	PROPN
cana-3837	543	6	a	a	PROPN
cana-3837	543	7	,	,	PUNCT
cana-3837	543	8	b	b	PROPN
cana-3837	543	9	yang	yang	PROPN
cana-3837	543	10	jingyu	jingyu	VERB
cana-3837	543	11	a	a	DET
cana-3837	543	12	ye	ye	NOUN
cana-3837	543	13	youpei	youpei	PROPN
cana-3837	543	14	a	a	DET
cana-3837	543	15	zhang	zhang	PROPN
cana-3837	543	16	qiansheng	qiansheng	PROPN
cana-3837	543	17	b.	b.	PROPN
cana-3837	543	18	a	a	DET
cana-3837	543	19	generalized	generalize	VERB
cana-3837	543	20	interval	interval	NOUN
cana-3837	543	21	valued	value	VERB
cana-3837	543	22	intuitionistic	intuitionistic	ADJ
cana-3837	543	23	fuzzy	fuzzy	ADJ
cana-3837	543	24	sets	set	NOUN
cana-3837	543	25	theory	theory	NOUN
cana-3837	543	26	.	.	PUNCT
cana-3837	544	1	advanced	advance	VERB
cana-3837	544	2	in	in	ADP
cana-3837	544	3	control	control	NOUN
cana-3837	544	4	engineering	engineering	NOUN
cana-3837	544	5	and	and	CCONJ
cana-3837	544	6	information	information	NOUN
cana-3837	544	7	science	science	NOUN
cana-3837	544	8	,	,	PUNCT
cana-3837	544	9	(	(	PUNCT
cana-3837	544	10	2011	2011	NUM
cana-3837	544	11	)	)	PUNCT
cana-3837	544	12	2037	2037	NUM
cana-3837	544	13	–	–	PUNCT
cana-3837	544	14	2041	2041	NUM
cana-3837	544	15	.	.	PUNCT
cana-3837	545	1	[	[	X
cana-3837	545	2	19	19	NUM
cana-3837	545	3	]	]	PUNCT
cana-3837	545	4	x.	x.	NOUN
cana-3837	545	5	y.	y.	PROPN
cana-3837	545	6	shen	shen	PROPN
cana-3837	545	7	,	,	PUNCT
cana-3837	545	8	y.	y.	PROPN
cana-3837	545	9	j.	j.	PROPN
cana-3837	545	10	lei	lei	PROPN
cana-3837	545	11	,	,	PUNCT
cana-3837	545	12	j.	j.	PROPN
cana-3837	545	13	x.	x.	PROPN
cana-3837	545	14	hua	hua	PROPN
cana-3837	545	15	,	,	PUNCT
cana-3837	545	16	et	et	PROPN
cana-3837	545	17	al	al	PROPN
cana-3837	545	18	.	.	PROPN
cana-3837	545	19	description	description	NOUN
cana-3837	545	20	and	and	CCONJ
cana-3837	545	21	reasoning	reasoning	NOUN
cana-3837	545	22	method	method	NOUN
cana-3837	545	23	of	of	ADP
cana-3837	545	24	uncertain	uncertain	ADJ
cana-3837	545	25	temporal	temporal	ADJ
cana-3837	545	26	knowledge	knowledge	NOUN
cana-3837	545	27	based	base	VERB
cana-3837	545	28	on	on	ADP
cana-3837	545	29	iftpn	iftpn	NOUN
cana-3837	545	30	.	.	PUNCT
cana-3837	546	1	control	control	NOUN
cana-3837	546	2	and	and	CCONJ
cana-3837	546	3	decision	decision	NOUN
cana-3837	546	4	,	,	PUNCT
cana-3837	546	5	2010	2010	NUM
cana-3837	546	6	,	,	PUNCT
cana-3837	546	7	25(10	25(10	NUM
cana-3837	546	8	):	):	PUNCT
cana-3837	546	9	1457	1457	NUM
cana-3837	546	10	–	–	PUNCT
cana-3837	546	11	1462	1462	NUM
cana-3837	546	12	.	.	PUNCT
cana-3837	547	1	[	[	X
cana-3837	547	2	20	20	NUM
cana-3837	547	3	]	]	PUNCT
cana-3837	547	4	s.	s.	PROPN
cana-3837	547	5	senthilkumar	senthilkumar	PROPN
cana-3837	547	6	,	,	PUNCT
cana-3837	547	7	eswari	eswari	NOUN
cana-3837	547	8	prem	prem	PROPN
cana-3837	547	9	and	and	CCONJ
cana-3837	547	10	c.	c.	PROPN
cana-3837	547	11	ragavan	ragavan	PROPN
cana-3837	547	12	.	.	PUNCT
cana-3837	548	1	intuitionistic	intuitionistic	ADJ
cana-3837	548	2	fuzzy	fuzzy	ADJ
cana-3837	548	3	translation	translation	NOUN
cana-3837	548	4	of	of	ADP
cana-3837	548	5	anti	anti	ADJ
cana-3837	548	6	-	-	ADJ
cana-3837	548	7	intuitionistic	intuitionistic	ADJ
cana-3837	548	8	fuzzy	fuzzy	ADJ
cana-3837	548	9	t	t	PROPN
cana-3837	548	10	-	-	PUNCT
cana-3837	548	11	idelas	idela	NOUN
cana-3837	548	12	of	of	ADP
cana-3837	548	13	subtraction	subtraction	NOUN
cana-3837	548	14	bck	bck	PROPN
cana-3837	548	15	/	/	SYM
cana-3837	548	16	bci	bci	NOUN
cana-3837	548	17	-	-	PUNCT
cana-3837	548	18	algebras	algebra	NOUN
cana-3837	548	19	.	.	PUNCT
cana-3837	549	1	malaya	malaya	PROPN
cana-3837	549	2	journal	journal	PROPN
cana-3837	549	3	of	of	ADP
cana-3837	549	4	matematik	matematik	PROPN
cana-3837	549	5	,	,	PUNCT
cana-3837	549	6	vol	vol	NOUN
cana-3837	549	7	.	.	PROPN
cana-3837	549	8	6	6	NUM
cana-3837	549	9	,	,	PUNCT
cana-3837	549	10	no	no	INTJ
cana-3837	549	11	.	.	NOUN
cana-3837	549	12	3	3	NUM
cana-3837	549	13	,	,	PUNCT
cana-3837	549	14	701	701	NUM
cana-3837	549	15	-	-	SYM
cana-3837	549	16	710	710	NUM
cana-3837	549	17	,	,	PUNCT
cana-3837	549	18	2018	2018	NUM
cana-3837	549	19	.	.	PUNCT
cana-3837	550	1	[	[	X
cana-3837	550	2	21	21	NUM
cana-3837	550	3	]	]	X
cana-3837	550	4	f.	f.	PROPN
cana-3837	550	5	y.	y.	PROPN
cana-3837	550	6	meng	meng	PROPN
cana-3837	550	7	,	,	PUNCT
cana-3837	550	8	x.	x.	PROPN
cana-3837	550	9	h.	h.	PROPN
cana-3837	550	10	chen	chen	PROPN
cana-3837	550	11	.	.	PUNCT
cana-3837	551	1	entropy	entropy	PROPN
cana-3837	551	2	and	and	CCONJ
cana-3837	551	3	similarity	similarity	NOUN
cana-3837	551	4	measure	measure	NOUN
cana-3837	551	5	for	for	ADP
cana-3837	551	6	atannasovs	atannasovs	NOUN
cana-3837	551	7	interval	interval	NOUN
cana-3837	551	8	-	-	PUNCT
cana-3837	551	9	valued	value	VERB
cana-3837	551	10	intuitionistic	intuitionistic	ADJ
cana-3837	551	11	fuzzy	fuzzy	ADJ
cana-3837	551	12	sets	set	NOUN
cana-3837	551	13	and	and	CCONJ
cana-3837	551	14	their	their	PRON
cana-3837	551	15	application	application	NOUN
cana-3837	551	16	.	.	PUNCT
cana-3837	552	1	fuzzy	fuzzy	ADJ
cana-3837	552	2	optimization	optimization	NOUN
cana-3837	552	3	and	and	CCONJ
cana-3837	552	4	decision	decision	NOUN
cana-3837	552	5	making	making	NOUN
cana-3837	552	6	,	,	PUNCT
cana-3837	552	7	2016	2016	NUM
cana-3837	552	8	,	,	PUNCT
cana-3837	552	9	15(1	15(1	NUM
cana-3837	552	10	):	):	PUNCT
cana-3837	552	11	75	75	NUM
cana-3837	552	12	–	–	PUNCT
cana-3837	552	13	101	101	NUM
cana-3837	552	14	.	.	PUNCT
cana-3837	553	1	[	[	X
cana-3837	553	2	22	22	NUM
cana-3837	553	3	]	]	X
cana-3837	553	4	d.	d.	PROPN
cana-3837	553	5	pandey	pandey	PROPN
cana-3837	553	6	and	and	CCONJ
cana-3837	553	7	1kamesh	1kamesh	PROPN
cana-3837	553	8	kumar	kumar	PROPN
cana-3837	553	9	.	.	PUNCT
cana-3837	554	1	interval	interval	NOUN
cana-3837	554	2	valued	value	VERB
cana-3837	554	3	intuitionistic	intuitionistic	ADJ
cana-3837	554	4	fuzzy	fuzzy	ADJ
cana-3837	554	5	sets	set	NOUN
cana-3837	554	6	in	in	ADP
cana-3837	554	7	medical	medical	ADJ
cana-3837	554	8	diagnosis	diagnosis	NOUN
cana-3837	554	9	.	.	PUNCT
cana-3837	555	1	journal	journal	PROPN
cana-3837	555	2	of	of	ADP
cana-3837	555	3	international	international	PROPN
cana-3837	555	4	academy	academy	PROPN
cana-3837	555	5	of	of	ADP
cana-3837	555	6	physical	physical	PROPN
cana-3837	555	7	sciences	sciences	PROPN
cana-3837	555	8	pp	pp	ADJ
cana-3837	555	9	.	.	PUNCT
cana-3837	556	1	137	137	NUM
cana-3837	556	2	-	-	SYM
cana-3837	556	3	147	147	NUM
cana-3837	556	4	,	,	PUNCT
cana-3837	556	5	vol	vol	NOUN
cana-3837	556	6	.	.	PROPN
cana-3837	557	1	14	14	NUM
cana-3837	557	2	no.2	no.2	PROPN
cana-3837	557	3	(	(	PUNCT
cana-3837	557	4	2010	2010	NUM
cana-3837	557	5	)	)	PUNCT
cana-3837	557	6	.	.	PUNCT
cana-3837	558	1	[	[	X
cana-3837	558	2	23	23	NUM
cana-3837	558	3	]	]	PUNCT
cana-3837	558	4	a.	a.	PROPN
cana-3837	558	5	khalid	khalid	PROPN
cana-3837	558	6	,	,	PUNCT
cana-3837	558	7	m.	m.	NOUN
cana-3837	558	8	abbas	abbas	PROPN
cana-3837	558	9	.	.	PUNCT
cana-3837	559	1	distance	distance	NOUN
cana-3837	559	2	measures	measure	NOUN
cana-3837	559	3	and	and	CCONJ
cana-3837	559	4	operations	operation	NOUN
cana-3837	559	5	in	in	ADP
cana-3837	559	6	intuitionistic	intuitionistic	ADJ
cana-3837	559	7	and	and	CCONJ
cana-3837	559	8	interval	interval	NOUN
cana-3837	559	9	-	-	PUNCT
cana-3837	559	10	valued	value	VERB
cana-3837	559	11	intuitionistic	intuitionistic	ADJ
cana-3837	559	12	fuzzy	fuzzy	ADJ
cana-3837	559	13	soft	soft	ADJ
cana-3837	559	14	set	set	NOUN
cana-3837	559	15	theory	theory	NOUN
cana-3837	559	16	.	.	PUNCT
cana-3837	560	1	international	international	ADJ
cana-3837	560	2	journal	journal	PROPN
cana-3837	560	3	of	of	ADP
cana-3837	560	4	fuzzy	fuzzy	ADJ
cana-3837	560	5	systems	system	NOUN
cana-3837	560	6	,	,	PUNCT
cana-3837	560	7	2015	2015	NUM
cana-3837	560	8	,	,	PUNCT
cana-3837	560	9	17(3	17(3	NUM
cana-3837	560	10	):	):	PUNCT
cana-3837	560	11	490	490	NUM
cana-3837	560	12	–	–	SYM
cana-3837	560	13	497	497	NUM
cana-3837	560	14	.	.	PUNCT
cana-3837	561	1	[	[	X
cana-3837	561	2	24	24	NUM
cana-3837	561	3	]	]	X
cana-3837	561	4	v.	v.	CCONJ
cana-3837	561	5	andonov	andonov	PROPN
cana-3837	561	6	.	.	PUNCT
cana-3837	562	1	on	on	ADP
cana-3837	562	2	some	some	DET
cana-3837	562	3	properties	property	NOUN
cana-3837	562	4	of	of	ADP
cana-3837	562	5	one	one	NUM
cana-3837	562	6	cartesian	cartesian	ADJ
cana-3837	562	7	product	product	NOUN
cana-3837	562	8	over	over	ADP
cana-3837	562	9	intuitionistic	intuitionistic	ADJ
cana-3837	562	10	fuzzy	fuzzy	ADJ
cana-3837	562	11	sets	set	NOUN
cana-3837	562	12	.	.	PUNCT
cana-3837	563	1	notes	note	NOUN
cana-3837	563	2	on	on	ADP
cana-3837	563	3	intuitionistic	intuitionistic	ADJ
cana-3837	563	4	fuzzy	fuzzy	ADJ
cana-3837	563	5	sets	set	NOUN
cana-3837	563	6	,	,	PUNCT
cana-3837	563	7	2008	2008	NUM
cana-3837	563	8	,	,	PUNCT
cana-3837	563	9	14(1	14(1	NUM
cana-3837	563	10	):	):	PUNCT
cana-3837	563	11	12	12	NUM
cana-3837	563	12	–	–	SYM
cana-3837	563	13	19	19	NUM
cana-3837	563	14	.	.	PUNCT
cana-3837	564	1	[	[	X
cana-3837	564	2	25	25	NUM
cana-3837	564	3	]	]	PUNCT
cana-3837	564	4	a.	a.	NOUN
cana-3837	564	5	varghese	varghese	PROPN
cana-3837	564	6	,	,	PUNCT
cana-3837	564	7	s.	s.	PROPN
cana-3837	564	8	kuriakose	kuriakose	PROPN
cana-3837	564	9	.	.	PUNCT
cana-3837	565	1	cartesian	cartesian	ADJ
cana-3837	565	2	product	product	NOUN
cana-3837	565	3	over	over	ADP
cana-3837	565	4	intuitionistic	intuitionistic	ADJ
cana-3837	565	5	fuzzy	fuzzy	ADJ
cana-3837	565	6	sets	set	NOUN
cana-3837	565	7	.	.	PUNCT
cana-3837	566	1	international	international	ADJ
cana-3837	566	2	journal	journal	NOUN
cana-3837	566	3	of	of	ADP
cana-3837	566	4	fuzzy	fuzzy	ADJ
cana-3837	566	5	sets	set	NOUN
cana-3837	566	6	,	,	PUNCT
cana-3837	566	7	2012	2012	NUM
cana-3837	566	8	,	,	PUNCT
cana-3837	566	9	2(1	2(1	NUM
cana-3837	566	10	):	):	PUNCT
cana-3837	566	11	21	21	NUM
cana-3837	566	12	–	–	SYM
cana-3837	566	13	27	27	NUM
cana-3837	566	14	.	.	PUNCT
cana-3837	567	1	[	[	X
cana-3837	567	2	26	26	NUM
cana-3837	567	3	]	]	PUNCT
cana-3837	567	4	a.	a.	NOUN
cana-3837	567	5	varghese	varghese	PROPN
cana-3837	567	6	,	,	PUNCT
cana-3837	567	7	s.	s.	PROPN
cana-3837	567	8	kuriakose	kuriakose	PROPN
cana-3837	567	9	.	.	PUNCT
cana-3837	568	1	more	more	ADJ
cana-3837	568	2	on	on	ADP
cana-3837	568	3	cartesian	cartesian	ADJ
cana-3837	568	4	products	product	NOUN
cana-3837	568	5	over	over	ADP
cana-3837	568	6	intuitionistic	intuitionistic	ADJ
cana-3837	568	7	fuzzy	fuzzy	ADJ
cana-3837	568	8	sets	set	NOUN
cana-3837	568	9	.	.	PUNCT
cana-3837	569	1	international	international	ADJ
cana-3837	569	2	mathematical	mathematical	PROPN
cana-3837	569	3	forum	forum	PROPN
cana-3837	569	4	,	,	PUNCT
cana-3837	569	5	2012	2012	NUM
cana-3837	569	6	,	,	PUNCT
cana-3837	569	7	7(23	7(23	NOUN
cana-3837	569	8	):	):	PUNCT
cana-3837	569	9	1129	1129	NUM
cana-3837	569	10	–	–	PUNCT
cana-3837	569	11	1133	1133	NUM
cana-3837	569	12	.	.	PUNCT
cana-3837	570	1	[	[	X
cana-3837	570	2	27	27	NUM
cana-3837	570	3	]	]	X
cana-3837	570	4	h.	h.	NOUN
cana-3837	570	5	bustince	bustince	NOUN
cana-3837	570	6	,	,	PUNCT
cana-3837	570	7	p.	p.	PROPN
cana-3837	570	8	burillo	burillo	PROPN
cana-3837	570	9	.	.	PUNCT
cana-3837	571	1	vague	vague	ADJ
cana-3837	571	2	sets	set	NOUN
cana-3837	571	3	are	be	AUX
cana-3837	571	4	intuitionistic	intuitionistic	ADJ
cana-3837	571	5	fuzzy	fuzzy	ADJ
cana-3837	571	6	sets	set	NOUN
cana-3837	571	7	.	.	PUNCT
cana-3837	572	1	fuzzy	fuzzy	ADJ
cana-3837	572	2	sets	set	NOUN
cana-3837	572	3	and	and	CCONJ
cana-3837	572	4	systems	system	NOUN
cana-3837	572	5	79	79	NUM
cana-3837	572	6	(	(	PUNCT
cana-3837	572	7	1996	1996	NUM
cana-3837	572	8	)	)	PUNCT
cana-3837	572	9	403	403	NUM
cana-3837	572	10	-	-	SYM
cana-3837	572	11	405	405	NUM
cana-3837	572	12	.	.	PUNCT